ON α-GERAGHTY CONTRACTIVE MAPPINGS IN BIPOLAR METRIC SPACES

Authors

  • Duangkamon Kitkuan Department of Mathematics, Faculty of Science and Technology
  • Anantachai Padcharoen Department of Mathematics, Faculty of Science and Technology
  • Jong Kyu Kim Department of Mathematics Education, Kyungnam University
  • Won Hee Lim Department of Mathematics Education, Kyungnam University

Abstract

In this paper, we introduce the notion of α-Geraghty contractive type covariant and contravariant mappings in the bipolar metric spaces. In addition, we prove some fixed point theorems, which give existence and uniqueness of fixed point, for α-Geraghty contractive type covariant and contravariant mappings in complete bipolar metric spaces. Finally, we show some examples to support our main results.

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Published

2023-02-22

Issue

Volume 28, Number 1, March 2023

Section

Articles