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Common best proximity point theorems for proximally weak reciprocal continuous mappings

Publication Type : Journal Article

Publisher : American Institute of Mathematical Sciences (AIMS)

Source : AIMS Mathematics

Url : https://doi.org/10.3934/math.20231442

Campus : Coimbatore

School : School of Physical Sciences

Department : Mathematics

Year : 2023

Abstract : <abstract><p>The main objective of this paper is to find sufficient conditions for the existence and uniqueness of common best proximity points for discontinuous non-self mappings in the setting of a complete metric space. We introduce and analyze new concepts such as proximally reciprocal continuous, proximally weak reciprocal continuous, R-proximally weak commuting of types $ M_{\Lambda} $ and $ M_{\Gamma} $ for non-self mappings. Furthermore, we obtain a common best proximity point theorem for such mappings. In addition, we provide an example to support our main result.</p></abstract>

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Manuel De la Sen, Common best proximity point theorems for proximally weak reciprocal continuous mappings, AIMS Mathematics, American Institute of Mathematical Sciences (AIMS), 2023, https://doi.org/10.3934/math.20231442

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