Coupled best proximity point theorem in metric Spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Sintunavarat W., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

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

Volume number: 2012

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84868686221&doi=10.1186%2f1687-1812-2012-93&partnerID=40&md5=fe4e7b9d0a08b22dc817c18396364c87

Languages: English-Great Britain (EN-GB)

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Abstract

In this article the concept of coupled best proximity point and cyclic contraction pair are introduced and then we study the existence and convergence of these points in metric spaces. We also establish new results on the existence and convergence in a uniformly convex Banach spaces. Furthermore, we give new results of coupled fixed points in metric spaces and give some illustrative examples. An open problems are also given at the end for further investigation. ฉ 2012 Sintunavarat and Kumam; licensee Springer.

Keywords