Tripled best proximity point theorem in metric spaces

Journal article

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Publication Details

Author list: Cho Y.J., Gupta A., Karapinar E., Kumam P., Sintunavarat W.

Publisher: Element D.O.O.

Publication year: 2013

Volume number: 16

Issue number: 4

Start page: 1197

End page: 1216

Number of pages: 20

ISSN: 1331-4343

eISSN: 1331-4343

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84896523666&doi=10.7153%2fmia-16-93&partnerID=40&md5=8d8c304763f38bb95c634585385e321f

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this article is to first introduce the notion of tripled best proximity point and cyclic contraction pair. We also establish the existence and convergence theorems of tripled best proximity points in metric spaces. Moreover, we apply our results to setting of uniformly convex Banach space. Finally, we obtain some results on the existence and convergence of tripled fixed point in metric spaces and give illustrative examples of our theorems. ฉ Element, Zagreb.

Keywords

Tripled best proximity point, Tripled Common Fixed Point