Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREM OF 𝜓s-RATIONAL TYPE CONTRACTIONS ALONG WITH ALTERING DISTANCE FUNCTIONS IN b-METRIC SPACES

  • Oratai Yamaod (Faculty of Sports and Health Science, Thailand National Sports University Suphanburi Campus) ;
  • Atit Wiriyapongsanon (Faculty of Sports and Health Science, Thailand National Sports University Lampang Campus)
  • Received : 2023.11.13
  • Accepted : 2024.05.18
  • Published : 2024.09.15
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Abstract

In this paper, we introduce the new concept of 𝜓s-rational type contractive mapping in the sense of 𝑏-metric spaces. Also, we obtain some fixed point results for these contractive mappings in complete b-metric spaces. Our main results generalize, extend and improve the corresponding results on the topics given in the literature. Finally, we also give some examples to illustrate our main results.

Keywords

Acknowledgement

The author thanks for the support of Thailand National Sports University Suphanburi Campus.

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