COMMON FIXED POINTS OF GENERALIZED CONTRACTIVE MAPPINGS IN UNIFORM SPACES

Authors

  • B. Hosseini Department of Pure Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad 91775, Iran Author
  • A.K. Mirmostafaee Center of Excellence in Analysis on Algebraic Structures, Department of Pure Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad 91775, Iran Author

Keywords:

Fixed points, uniform spaces, graph, connectivity

Subjects:

47H10, 54E15, 05C40, 54H25

Abstract

In order to establish some common fixed point theorems on Hausdorff uniform spaces endowed with a graph we will define a new kind of generalized contraction for self-mappings. A few related examples are also provided to support our main results. Finally an application of our results in $b$-metric spaces is exhibited.

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Published

2020-07-15

Issue

Vol. 72 No. 3 (2020): Vol. 72, Issue 3

Section

Articles

License

Copyright (c) 2020 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.