Coupled best proximity points in ordered metric spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Kumam P., Pragadeeswarar V., Marudai M., Sitthithakerngkiet K.

Publisher: SpringerOpen

Publication year: 2014

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2014

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84901779147&doi=10.1186%2f1687-1812-2014-107&partnerID=40&md5=5caeaf17100b8876474a7e6b36b19046

Languages: English-Great Britain (EN-GB)

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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):4238-4248, 2011; Nonlinear Anal. 74:983-992, 2011). ฉ 2014 Kumam et al.; licensee Springer.

Keywords

Coupled best proximity point, Proximally increasing mapping