Research article

Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces

  • Received: 11 July 2020 Accepted: 03 September 2020 Published: 07 September 2020
  • MSC : 46B20, 47H10, 54H25

  • In this paper, we first introduce the concept of mixed γ-proximally monotone property type mappings and investigate the existence of the coupled proximally coincidence point for such mappings in partially ordered complete metric spaces. Furthermore, we prove the existence and uniqueness of coupled common best proximity points. Our results extend, improve and generalize several known results in the literature.

    Citation: Raju Gopi, Veerasamy Pragadeeswarar, Choonkil Park, Dong Yun Shin. Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces[J]. AIMS Mathematics, 2020, 5(6): 6913-6928. doi: 10.3934/math.2020443

    Related Papers:

  • In this paper, we first introduce the concept of mixed γ-proximally monotone property type mappings and investigate the existence of the coupled proximally coincidence point for such mappings in partially ordered complete metric spaces. Furthermore, we prove the existence and uniqueness of coupled common best proximity points. Our results extend, improve and generalize several known results in the literature.


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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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