Nonlinear Functional Analysis and Applications

The Basic Sciences Research Institute, Kyungnam University (경남대학교 기초과학연구소)
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ON α-GERAGHTY CONTRACTIVE MAPPINGS IN BIPOLAR METRIC SPACES

  • Duangkamon Kitkuan (Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University) ;
  • Anantachai Padcharoen (Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University) ;
  • Jong Kyu Kim (Department of Mathematics Education, Kyungnam University) ;
  • Won Hee Lim (Department of Mathematics Education, Kyungnam University)
  • Received : 2021.03.27
  • Accepted : 2022.03.09
  • Published : 2023.03.03
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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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Acknowledgement

The first author and second author were supported by the Research and Development Institute, Rambhai Barni Rajabhat University. And the third author was supported by the Basic Science Research Program through the National Research Foundation(NRF) Grant funded by Ministry of Education of the republic of Korea (2018R1D1A1B07045427).

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