Operation on Fine Topology

Authors

  • P. L. Powar Department of Mathematics, Rani Durgawati University, Jabalpur, (M. P.), INDIA
  • Baravan Asaad Department of Mathematics, Faculty of Science, University of Zakho, Kurdistan-region, IRAQ
  • K. Rajak Department of Mathematics, St. Aloysius College (Autonomous), Jabalpur, (M. P.), INDIA
  • R. Kushwaha Department of Mathematics, Rani Durgawati University, Jabalpur, (M. P.), INDIA

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i3.3449

Keywords:

fine-open sets, fγ-open sets, fγg.closed sets, fγ-separation axioms, fγβ-continuous functions, fβ-closed graphs

Abstract

This paper introduces the concept of an operation γ on τf. Using this operation, we define the concept of fγ-open sets, and study some of their related notions. Also, we introduce the concept of fγg.closed sets and then study some of its properties. Moreover, we introduce and investigate some types of fγ-separation axioms and fγβ-continuous functions by utilizing the operation γ on τf. Finally, some basic properties of functions with fβ-closed graphs have been obtained.

Author Biographies

  • P. L. Powar, Department of Mathematics, Rani Durgawati University, Jabalpur, (M. P.), INDIA
    Department of Mathematics, Rani Durgawati University, Jabalpur, (M. P.), INDIA
  • Baravan Asaad, Department of Mathematics, Faculty of Science, University of Zakho, Kurdistan-region, IRAQ
    Department of Mathematics, Faculty of Science, University of Zakho
  • K. Rajak, Department of Mathematics, St. Aloysius College (Autonomous), Jabalpur, (M. P.), INDIA
    Department of Mathematics, St. Aloysius College (Autonomous), Jabalpur, (M. P.), INDIA
  • R. Kushwaha, Department of Mathematics, Rani Durgawati University, Jabalpur, (M. P.), INDIA
    Department of Mathematics, Rani Durgawati University, Jabalpur, (M. P.), INDIA

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Published

2019-07-25

Issue

Vol. 12 No. 3: (July 2019)

Section

Nonlinear Analysis

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How to Cite

Operation on Fine Topology. (2019). European Journal of Pure and Applied Mathematics, 12(3), 960-977. https://doi.org/10.29020/nybg.ejpam.v12i3.3449