Some fixed point theorems on S-metric spaces

Authors

  • Níhal Yilmaz Özgür Balı kesir University, Department of Mathematics, 10145 Balı kesir, Turkey Author
  • Níhal Taş Balı kesir University, Department of Mathematics, 10145 Balı kesir, Turkey Author

Keywords:

$S$-metric space, fixed point theorem, $C_{S}$-mapping, $L_{S}$-mapping, cluster point

Subjects:

54E35, 54E40, 54E45, 54E50

Abstract

In this paper, we present some contractive mappings and prove new generalizedfixed point theorems on $S$-metric spaces. Also we define the notion of acluster point and investigate fixed points of self-mappings using clusterpoints on $S$-metric spaces. We obtain new generalizations of the classicalNemytskii-Edelstein and Ćirić's fixed point theorems for continuousself-mappings of compact $S$-metric spaces.

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Published

2017-01-15

Issue

Vol. 69 No. 1 (2017): Vol. 69, Issue 1

Section

Articles

License

Copyright (c) 2017 Authors retain copyright to their work.

Creative Commons License

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