Some best proximity point results for generalized cyclic contraction mappings

Document Type : Research Paper


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


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.


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Volume 14, Issue 8
August 2023
Pages 129-135
  • Receive Date: 05 December 2021
  • Revise Date: 13 February 2023
  • Accept Date: 23 February 2023