International Journal of Nonlinear Analysis and Applications

Some best proximity point results for generalized cyclic contraction mappings

Document Type : Research Paper

Authors

1 Department of Mathematics, National Institute of Technology Manipur, Langol 795004, India

2 Department of Engineering Science, Bandırma Onyedi Eylul University, Bandırma 10200, Balıkesir, Turkey

Abstract

In this study, we establish some best proximity point results for generalized cyclic contraction mappings in partially ordered metric spaces. We also prove some best proximity point theorems by introducing the $T$-restriction property and generalized pointwise cyclic contraction mapping. Some illustrations are provided to support our results.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 8
August 2023
Pages 129-135
  • Receive Date: 05 December 2021
  • Revise Date: 13 February 2023
  • Accept Date: 23 February 2023