Best proximity points for Geraghty's proximal contraction mappings

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Mongkolkeha C., Cho Y.J., Kumam P.

Publisher: SpringerOpen

Publication year: 2013

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

Volume number: 2013

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893841471&doi=10.1186%2f1687-1812-2013-180&partnerID=40&md5=e332446e9f64d507a59d96ab4c93cf4c

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we generalized the notion of proximal contractions of the first and second kinds by using Geraghty's theorem and establish best proximity point theorems for proximal contractions. Our results improve and extend the recent results of Sadiq Basha and some others. ฉ 2013 Mongkolkeha et al.; licensee Springer.

Keywords

Geraghty's proximal contraction mapping, Proximal contraction mapping