https://ejpam.com/index.php/ejpam/issue/feedEuropean Journal of Pure and Applied Mathematics2018-08-11T21:04:04+00:00Editorial Office, EJPAMeditor@ejpam.comOpen Journal Systems<h3>Welcome</h3><p align="justify"><strong></strong></p><p align="justify"><em>European Journal of Pure and Applied Mathematics</em> is an international electronic journal which is devoted to original research in the field of pure and applied mathematics and their teaching and learning. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering, natural sciences or social sciences. This journal publishes high quality researches in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, topology, number theory, approximation theory, mathematical methods in operational research, theoretical statistics and econometrics, and theoretical computer science.</p><p align="justify">Another feature of the journal is to publish papers on mathematics education which contribute to the improvement of mathematics teaching and learning for students from upper secondary/high school level through to university first degree level. Although the journal focuses on the original research articles, it also welcomes reviews and short notes. All submitted papers are peer-reviewed.</p><p align="justify"><strong>Editorial Board</strong></p><p align="justify">The<strong> </strong>Editorial Board consists of prominent scientists as some are Nobel Laureates.</p><p align="justify">See<strong></strong> <a href="/index.php/ejpam/about/editorialTeam">editorial board</a> details.</p><p align="justify"><strong>Readership</strong></p><p>The journal is a rostrum for the audience of mathematicians, operational researchers, statisticians, econometricians, computer scientists, mathematics educators and all scientists using mathematics.</p><p><strong>Journal Impact </strong></p><p class="MsoNormal">Papers: 439, Citations: 2,132, <strong>Cites/paper (Impact Factor): 4.86</strong>. </p><p>The current EJPAM Journal impact is calculated using Harzing's Publish or Perish software that employs Google Scholar on 22.01.2018.</p><p><strong>Abstracted/Indexed in:</strong></p><p align="justify">Thomson Reuters (Clarivate Analytics) Emerging Sources Citation Index (ESCI), Web of Science, Mathematical Reviews, Zentralblatt MATH, EBSCO, Chambridge Scientific Abstracts, IndexCopernicus™, International Abstracts in Operations Research, Ulrich's Periodicals Directory, <a title="Arastirmax Bilimsel Yayın İndeksi" href="http://www.arastirmax.com/dergi/european-journal-pure-and-applied-mathematics" target="_blank" rel="noopener">Arastirmax</a>, CrossRef</p> <p align="justify">ISSN:1307-5543 <br />Inaugural publication: January 2008 <br />The journal is quarterly</p><p align="justify"><strong>Publisher</strong></p><p align="justify">European Journal of Pure and Applied Mathematics is published by<strong> New York Business Global</strong>, USA.</p>https://ejpam.com/index.php/ejpam/article/view/3313An Indicator of One’s Life Satisfaction2018-07-31T22:26:14+00:00Thomas L. Saatysaaty@katz.pitt.eduH. J. Zofferzoffer@katz.pitt.eduLirong Weiliw90@pitt.edu<p>How satisfied is each of us with the fulfillment of his life? In this paper after a thorough search of the literature about satisfaction, 58 criteria and subcriteria related to satisfaction or fulfillment were identified and arranged in a hierarchic structure. A process of prioritization known as the Analytic Hierarchy Process is used with the structure, putting in judgments from knowledgeable people to derive priorities for the criteria and subcriteria. A template was then developed for the reader to rate his satisfaction on each of the subcriteria in the structure to obtain an overall measure of satisfaction with their life. Someone who feels they have a perfect life would get 100%. The template can be used by any individual to determine what grade they get in life satisfaction. Readers can get the model to assess the reader’s level of life-satisfaction proposed in this paper at <a title="https://1drv.ms/x/s!Ao0b6FaIKSXM_AiH8x7JG5E09QCV" href="https://1drv.ms/x/s!Ao0b6FaIKSXM_AiH8x7JG5E09QCV">https://1drv.ms/x/s!Ao0b6FaIKSXM_AiH8x7JG5E09QCV</a>.</p>2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3316Pride and Passion: Remarks on Thomas L. Saaty’s Final Papers2018-08-11T21:04:04+00:00Eyüp Çetineyup.cetin@ejpam.comBarış Kiremitcibaris.kiremitci@ejpam.com<p>Thomas L. Saaty, a world-renowned scholar and our beloved Advisory Editor, passed away on August 14, 2017 at the age of 91. He has made many fundamental contributions to operations research, analytics, business and mathematics. Despite his heavy illness for 14 months, as passionate about science, he has also enthusiastically published his research. We review his final works published in 2017 and 2018. We are also honored to reveal and publish his final statements on neural firing and synthesis in making comparisons & life satisfaction, respectively, in his final two papers; the previous one submitted by him just before his passing and the other one submitted by his co-authors after his death to <em>European Journal of Pure and Applied Mathematics </em>(EJPAM).</p><p>We just would like to remember and honor Saaty’s memory by publishing his final papers at EJPAM and this humble remarks dedicated to the memory of Thomas L. Saaty on the occasion of the first anniversary of his passing, August 14, 2018.<strong></strong></p>2018-07-31T21:57:34+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3314A General Family of the Srivastava-Gupta Operators Preserving Linear Functions2018-08-02T10:12:50+00:00Vijay Guptavijaygupta2001@hotmail.comHari M. Srivastavaharimsri@math.uvic.ca<p>The general sequence of positive linear operators containing some well-known operators as special cases were introduced in the earlier work by Srivastava and Gupta [9], which reproduce only the constant functions. In the present sequel, we provide a general sequence of operators which preserve not only the constant functions, but also linear functions.</p>2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3260Left and Right Magnifying Elements in Generalized Semigroups of Transformations by Using Partitions of a Set2018-07-31T22:16:54+00:00Ronnason Chinramronnason.c@psu.ac.thPattarawan Petchkaewpattarawan.pe@gmail.comSamruam Baupradistsamruam.b@chula.ac.th<p>An element <em>a</em> of a semigroup <em>S</em> is called left [right] magnifying if there exists a proper subset <em>M</em> of <em>S</em> such that <em>S</em> = <em>aM</em> [<em>S</em> = <em>Ma</em>]. Let <em>X</em> be a nonempty set and <em>T(X)</em> be the semigroup of all transformation from <em>X</em> into itself under the composition of functions. For a partition <em>P</em> = {<em>X_α</em> | <em>α</em> ∈ <em>I</em>} of the set <em>X</em>, let <em>T(X,P)</em> = {<em>f</em> ∈ <em>T(X)</em> | (<em>X_α</em>)<em>f</em> ⊆ <em>X_α</em> for all <em>α</em> ∈ <em>I</em>}. Then <em>T(X,P)</em> is a subsemigroup of <em>T(X)</em> and if <em>P</em> = {<em>X</em>}, <em>T(X,P)</em> = <em>T(X)</em>. Our aim in this paper is to give necessary and suﬃcient conditions for elements in <em>T(X,P)</em> to be left or right magnifying. Moreover, we apply those conditions to give necessary and suﬃcient conditions for elements in some generalized linear transformation semigroups.</p>2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3274The Strong Semilattice of Pi-groups2018-07-31T22:16:54+00:00Jiangang Zhangjgzhang@shnu.edu.cnYuhui Yangjgzhang@shnu.edu.cnRan Shenjgzhang@shnu.edu.cnA semigroup is called a GV-inverse semigroup if and only if it is isomorphic to a semilattice of $\pi$-groups. In this paper, we give the sufficient and necessary conditions for a GV-inverse semigroup to be a strong semilattice of $\pi$-groups. Some conclusions about Clifford semigroups are generalized.2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3306Green's Relations for Hypergroupoids2018-07-31T22:16:54+00:00Niovi Kehayopulunkehayop@math.uoa.grWe give some information concerning the Green's relations $\cal R$ and $\cal L$ in hypergroupoids extending the concepts of right (left) consistent or intra-consistent groupoids in case of hypergroupoids. We prove, for example, that if an hypergroupoid $H$ is right (left) consistent or intra-consistent, then the Green's relations $\cal R$ and $\cal L$ are equivalence relations on $H$ and give some conditions under which in consistent commutative hypergroupoids the relation $\cal R$ (= $\cal L$) is a semilattice congruence. A commutative hypergroupoid is right consistent if and only if it is left consistent and if an hypergroupoid is commutative and right (left) consistent, then it is intra-consistent. A characterization of right (left) consistent (or intra-consistent) right (left) simple hypergroupoids has been also given. Illustrative examples are given.2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3272Separation Axioms in Diframes2018-07-31T22:16:54+00:00Esra Korkmazesrakaratas@hacettepe.edu.trRıza Ertürkrerturk@hacettepe.edu.trDitopological texture spaces are simultaneously generalizations of topological, bitopological and fuzzy topological spaces and diframes are generalizations of ditopological texture spaces. In this paper the authors define and study the separation axioms in diframe setting.2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3292Spectra of Local Cluster Flows on Open Chain of Contours2018-07-31T22:16:54+00:00Alexander Pavlovich Buslaevapal2006@yandex.ruAlexander G Tatasheva-tatashev@yandex.ruA dynamical system is considered. This dynamical system is a flow of clusters with the same length $l$ on contours of unit length connected into open chain. A similar system such that contours of this system are connected into closed chain was considered earlier. It has been found that, in the case of closed chain of contours, the dynamical system has a spectrum of velocity and mode periodicity consisted of more than one component. In this paper, it has been shown that, in the case of open chain, the spectrum of cluster velocity and mode periodicity contains only one component.<br />The conditions of self-organization and the dependence of cluster velocity on load $l$ is developed.2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3259On the Symmetric Block Design with Parameters (306,61,12) Admitting a Group of Order 612018-07-31T22:16:54+00:00Menderes Gashimenderes_gashi@yahoo.com<p>In this paper we have proved that up to isomorphism there are exactly two orbit structures for a putative symmetric block design D with parameters (306,61,12), constructed by group G of order 61. Also the full automorphism groups for these orbit structures are given.</p>2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3288On Some Properties of Doubt Bipolar Fuzzy H-ideals in BCK/BCI-algebras2018-07-31T22:16:54+00:00Anas Mohammad Al-Masarwahalmasarwah85@gmail.comAbd Ghafur Ahmadghafur@ukm.edu.my<p>In this research article, we study some properties of doubt bipolar fuzzy H-ideals in<br />BCK/ BCI-algebras. Doubt bipolar fuzzy H-ideals are connected with doubt bipolar fuzzy subalgebras and doubt bipolar fuzzy ideals. Moreover, doubt bipolar fuzzy H-ideals are characterized using doubt positive t-level cut set, doubt negative s-level cut set and H-Artin BCK/BCI-algebras.</p>2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3261Locally Conformal Almost Cosymplectic Manifold of Φ-holomorphic Sectional Conharmonic Curvature Tensor2018-07-31T22:16:54+00:00Habeeb Mtashar Aboodiraqsafwan2006@gmail.comFarah Al-Hussainifarahalhussaini14@yahoo.com<p align="LEFT">The aim of the present paper is to study the geometry of locally conformal almost cosymplectic manifold of Φ-holomorphic sectional conharmonic curvature tensor. In particular, the necessaryand sucient conditions in which that locally conformal almost cosymplectic manifold is a manifold of point constant Φ-holomorphic sectional conharmonic curvature tensor have been found. The relation between the mentioned manifold and the Einstein manifold is determined.</p>2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3273On the Irreducibility of Fourth Dimensional Tuba's Representation of the Pure Braid Group on Three Strands2018-07-31T22:16:54+00:00Hasan A. Haidarhah339@student.bau.edu.lbMohammad N. Abdulrahimmna@bau.edu.lbWe consider Tuba's representation of the pure braid group, $%P_{3} $, given by the map $\phi :P_{3}\longrightarrow GL(4,F)$, where $F$ is an algebraically closed field. After, specializing the indeterminates used in defining the representation to non- zero complex numbers, we find sufficient conditions that guarantee the irreducibility of Tuba's representation of the pure braid group $P_{3}$ with dimension $d=4$. Under further restriction for the complex specialization of the indeterminates, we get a necessary and sufficient condition for the irreducibility of $\phi2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3294Fixed Point Results for Geraghty Type Generalized F-contraction for Weak alpha-admissible Mapping in Metric-like Spaces2018-07-31T22:16:54+00:00Haitham Ali Qawaqnehhaitham_math@yahoo.comMohd Salmi Nooranimsn@ukm.myWasfi Shatanawiwshatanawi@psu.edu.sa<p>In this paper, we establish the existence of some fixed point results for generalized<br />(Alpha,Beta,F)-Geraghty contraction in metric-like spaces. We provide an example in order to support our results where some consequence applications of such result will be considered in this article. The obtained results improve and extend some well-known common fixed point results in the literature.</p>2018-07-31T21:57:35+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3248Multiplicative (Generalized) Reverse Derivations on Semiprime Ring2018-07-31T22:16:54+00:00Asma Aliasma_ali2@rediffmail.comAmbreen Banoambreenbn9@gmail.com<p>Let R be a semiprime ring. A mapping F : R → R (not necessarily additive) is called a multiplicative (generalized) reverse derivation if there exists a map d : R → R (not necessarily a derivation nor an additive map) such that F(xy) = F(y)x + yd(x) for all x, y є R. In this paper we investigate some identities involving multiplicative (generalized) reverse derivation and prove some theorems in which we characterize these mappings.</p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3275On alpha-prime and Weakly alpha-prime Submodules2018-07-31T22:16:54+00:00Thawatchai Khumprapussornthawatchai.kh@kmitl.ac.th<pre>We have introduced the notion of <span>$\alpha$</span>-prime and weakly <span>$\alpha$</span>-prime <span>submodules</span> as a generalization of prime <span>submodules</span>. </pre><pre>Some basic properties of <span>$\alpha$</span>-prime and weakly <span>$\alpha$</span>-prime <span>submodules</span> are the extension of prime <span>submodules</span>. </pre><pre>Finally, after introducing the notion of <span>$\alpha$</span>-prime <span>submodules</span>, we also define and study the concept of <span>$\alpha$</span>-prime ideals in a ring.</pre>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3284Product-Normed Linear Spaces2018-07-31T22:16:54+00:00Benedict Barnesewiekwamina@gmail.comI. A. Adjeiewiekwamina@gmail.comS. K. Amponsahewiekwamina@gmail.comE. Harrisewiekwamina@gmail.com<p>In this paper, both the product-normed linear space $P-NLS$ (product-Banach space) and <br /> product-semi-normed linear space (product-semi-Banch space) are introduced.<br /> These normed linear spaces are endowed with the first and second product inequalities,<br /> which have a lot of applications in linear algebra and differential equations. In addition,<br /> we showed that $P-NLS$ admits functional properties such as completeness, continuity and <br /> the fixed point.</p><br /><br />2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3285Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring2018-08-03T19:14:13+00:00Na'imah Hijriatinaimah.hijriati@mail.ugm.ac.idSri Wahyuniswahyuni@ugm.ac.idIndah Emilia Wijayantiind_wijayanti@ugm.ac.idLet $ R, S $ be rings with unity, $ M $ a module over $ S $, where $ S $ a commutative ring, and $ f \colon R \rightarrow S $ a ring homomorphism. A ring representation of $ R $ on $ M $ via $ f $ is a ring homomorphism $ \mu \colon R \rightarrow End_S(M) $, where $ End_S(M) $ is a ring of all $ S $-module homomorphisms on $ M $. One of the important properties in representation of rings is the Schur's Lemma. The main result of this paper is partly the generalization of Schur's Lemma in representations of rings on modules over a commutative ring2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3283The Minimality and Maximality of n-ideals in n-ary Semigroups2018-07-31T22:16:54+00:00Pattarawan Petchkaewpattarawan.pe@gmail.comRonnason Chinramronnason.c@psu.ac.th<p>One knows that the concept of minimality and maximality of left ideals and right ideals play an important role in semigroups. In this paper, we extend this concept to consider in <em>n</em>-ary semigroups. A number of results concerning relationships between minimality and maximality of <em>n</em>-ideals of <em>n</em>-ary semigroups and <em>n</em>-simple (0-<em>n</em>-simple) <em>n</em>-ary semigroups as well as some characterizations of minimality and maximality of <em>n</em>-ideals of <em>n</em>-ary semigroups are given.</p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3258Computing mu-values for Representations of Symmetric Groups in Engineering Systems2018-07-31T22:16:54+00:00Mutti-Ur Rehmanmutti.rehman@iba-suk.edu.pkM. Fazeel Anwarmutti.rehman@iba-suk.edu.pk<p>In this article we consider the matrix representations of finite symmetric groups Sn over the filed of complex numbers. These groups and their representations also appear as symmetries of certain linear control systems [5]. We compute the structure singular values (SSV) of the matrices arising from these representations. The obtained results of SSV are compared with well-known MATLAB routine mussv.</p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3237On the Continuity of Orthogonal Sets in the Sense of Operator Orthogonality2018-07-31T22:16:54+00:00Mahdi Iranmaneshm.Iranmanesh2012@gmail.comM. Saeedi Khojastehm.Iranmanesh2012@gmail.comM. K. Anwarym.Iranmanesh2012@gmail.com<p>In this paper, we introduce the operator approach for orthogonality in linear spaces. In particular, we represent the concept of orthogonal vectors using an operator associated with them, in normed spaces. Moreover, we investigate some of continuity properties of this kind of orthogonality. More precisely, we show that the set valued function F(x; y) = {μ : μ ∈ C, p(x − μy, y) = 1} is upper and lower semi continuous, where p(x, y) = sup{pz1,...,zn−2 (x, y) : z1, . . . , zn−2 ∈ X} and pz1,...,zn−2 (x, y) = kPx,z1,...,zn−2,yk−1 where Px,z1,...,zn−2,y denotes the projection parallel to y from X to the subspace generated by {x, z1, . . . , zn−2}. This can be considered as an alternative definition for numerical range in linear spaces.</p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3245On the Existence of Roots of Some p-adic Exponential-Polynomials2018-07-31T22:16:54+00:00Amran Dalloulamrandalloul@hotmail.com<p>In this paper, we use the Newton polygon of certain p-adic exponential polynomials in order to nd sufficient conditions for the existence of zeros.</p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3291On Slightly Compressible-Injective Modules2018-07-31T22:16:54+00:00Nguyen Dang Hoa Nghiemnghiemndh@gmail.comPhatsarapa Janmuangphatsarapa@gmail.comSamruam Baupradistsamruam.b@chula.ac.thRonnason Chinramronnason.c@psu.ac.thIn this paper, we introduce the concept of slightly compressible-injective modules, following this, a right <em>R</em>-module <em>N</em> is called an <em>M</em>-slightly compressible-injective module, if every <em>R</em>-homomorphism from a non-zero <em>M</em>-slightly compressible submodule of <em>M</em> to <em>N</em> can be extended to <em>M</em>. We give some characterizations and properties of slightly compressible-injective modules.2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3279Some Results on Projective Curvature Tensor of Nearly Cosymplectic Manifold2018-07-31T22:16:54+00:00Nawaf Jaber Mohammednawafjaber80@yahoo.comHabeeb Mtashar Aboodiraqsafwan2006@gmail.com<p align="LEFT">In the nearly cosymplectic manifold, dened a tensor of type (4,0), it's called a projective curvature tensor. In this article we discuss an interesting question; what the geometric meaning of this tensor when it's act on nearly cosymplectic manifold? The answer of this question leads to get an application on Einstein space. In particular, the necessary and sucient conditions that a projective tensor is vanishes are found.</p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3293On omega-Connectedness and omega-Continuity in the Product Space2018-07-31T22:16:54+00:00Mhelmar Avila Labendiamhelmar.labendia@g.msuiit.edu.phJan Alejandro C. Sasammhelmar.labendia@g.msuiit.edu.ph<p>In this paper, the concepts of $\omega$-open and $\omega$-closed functions between topological spaces will be introduced and characterized. Moreover, related concepts such as $\omega$-connectedness and $\omega$-continuity from an arbitarary topological space into the product space will also be characterized.</p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3301Numerical Computation of Lower Bounds of Structured Singular Values2018-07-31T22:16:54+00:00M. Fazeel Anwarmutti.rehman@iba-suk.edu.pkMutti-Ur Rehmanmutti.rehman@iba-suk.edu.pkIn this article we consider the numerical approximation of lower bounds of Structured Singular Values, SSV. The SSV is a wellknown mathematical quantity which is widely used to analyse and syntesize the robust stability and instability analysis of linear feedback systems in control theory. It links a bridge between numerical linear algebra and system theory. The computation of lower bounds of SSV by means of ordinary diﬀerential equations based technique is presented. The obtained numerical results for the lower bounds of SSV are compared with the well-known MATLAB function mussv available in MATLAB control toolbox.2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3286A Common Best Proximity Point Theorem for ϕ-dominated Pair2018-07-31T22:16:54+00:00Mahdi Iranmaneshm.iranmanesh2012@gmail.comAli Ganjbakhsh Sanateealisanatee62@gmail.com<p align="LEFT">In the present research, an interesting common best proximity point theorem for pairs of non-self-mappings is presented. It satises a weakly contraction-like condition, thereby producing common optimal approximate solutions of certain simultaneous xed point equations.</p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3296Introducing Partial Transformation UP-Algebras2018-07-31T22:16:54+00:00Aiyared Iampanaiyared.ia@up.ac.thPhakawat Mosrijaiphakawat.mo@gmail.comAkarachai Satiradakarachai.sa@gmail.comThe main aim of this paper is to introduce the notion of a partial transformation UP-algebra $P(X)$ induced by a UP-algebra $X$ and prove that the set of all full transformations $T(X)$ is a UP-ideal of $P(X)$.2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3253C-Tychonoff and L-Tychonoff Topological Spaces2018-07-31T22:16:54+00:00Samirah ALZahranimam_1420@hotmail.com<p>A topological space X is called C-Tychonoff if there exist a one-to-one function f from X onto a Tychonoff space Y such that f restriction K from K onto f(K) is a homeomorphism for each compact subspace K of X. We discuss this property and illustrate the relationships between C-Tychonoffness and some other properties like submetrizability, local compactness, L-Tychononess, C-normality, C-regularity, epinormality, sigma-compactness, pseudocompactness and zero-dimensional.<br /><br /></p>2018-07-31T21:57:36+00:00Copyright (c) 2018 European Journal of Pure and Applied Mathematics