Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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GENERALIZED CONTRACTIONS VIA Ƶ-CONTRACTION

  • Kitkuan, Duangkamon (Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University) ;
  • Saelee, Sompob (Faculty of Science and Technology, Bansomdejchaopraya Rajabhat University)
  • Received : 2021.07.04
  • Accepted : 2022.03.31
  • Published : 2022.09.01
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Abstract

In this article, we introduce the concept of contractive mapping, which is generally weak in metric spaces, and show the existence and uniqueness of the fixed point for such mapping in a metric space.

Keywords

Acknowledgement

First, Duangkamon Kitkuan would like to thank the support of the Research and Development Institute, Rambhaibarni Rajabhat University. Finally, Sompob Saelee would like to thank the support of the Research and Development Institute, Bansomdejchaopraya Rajabhat University.

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