Coupled Best Proximity Points under the Proximally Coupled Contraction in a Complete Ordered Metric Space

Authors

  • Poom Kumam Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand; Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126, Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140
  • Arslan Hojat Ansari Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj
  • Kanokwan Sitthithakerngkiet Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok (KMUTNB), Wongsawang, Bangsue, Bangkok, 10800

DOI:

https://doi.org/10.26713/cma.v7i3.437

Keywords:

Common xed point, Generalized weakly G-contraction, GP-metric space, Partially ordered set, Weakly increasing mapping

Abstract

In this paper, we prove the existence and uniqueness of a coupled best proximity point for mappings satisfying the proximally coupled contraction condition in a complete ordered metric space. Further, our result provides an extension of a result due to Luong and Thuan (Comput. Math. Appl. 62 (11) (2011), 4238–4248, Nonlinear Anal. 74 (2011), 983–992.

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CMA Vol 7 issue 3 (2016)

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Published

14-11-2016
CITATION

How to Cite

Kumam, P., Ansari, A. H., & Sitthithakerngkiet, K. (2016). Coupled Best Proximity Points under the Proximally Coupled Contraction in a Complete Ordered Metric Space. Communications in Mathematics and Applications, 7(3), 275–289. https://doi.org/10.26713/cma.v7i3.437

Issue

Vol. 7 No. 3 (2016)

Section

Research Article

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