Fixed Point Results for $\alpha -\psi -\varphi -$ Contractive Type Mappings in $b$-Metric-Like Spaces

Authors

  • Mehmet Ali Akturk Department of Engineering Sciences, Istanbul University, 34320 Istanbul, Turkey
  • Mehmet Kir Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, Turkey
  • Esra Yolacan Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, Turkey

Keywords:

$b$-Metric-Like, $\alpha $-Admissible Mappings, Fixed Point, Integral Equations

Abstract

In this paper, we introduce the concept of $\alpha -\psi -\varphi -$contractive type mappings in b-metric-like spaces and state some relatedfixed point theorems. Our results generalize related results in theliterature. Furthermore, an example and an application to integral equationsare provided to illustrate the usability of obtained results.

Author Biography

  • Mehmet Ali Akturk, Department of Engineering Sciences, Istanbul University, 34320 Istanbul, Turkey
    Research Assistance Dr at Engineering Sciences

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Published

2016-04-30

Issue

Vol. 9 No. 2: (April 2016)

Section

Functional Analysis

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How to Cite

Fixed Point Results for $\alpha -\psi -\varphi -$ Contractive Type Mappings in $b$-Metric-Like Spaces. (2016). European Journal of Pure and Applied Mathematics, 9(2), 175-185. https://www.ejpam.com/index.php/ejpam/article/view/2592