Best Proximity Point Theorems for Generalized Cyclic Contractions in Ordered Metric Spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Mongkolkeha C., Kumam P.

Publisher: Springer

Publication year: 2012

Journal: Journal of Optimization Theory and Applications (0022-3239)

Volume number: 155

Issue number: 1

Start page: 215

End page: 226

Number of pages: 12

ISSN: 0022-3239

eISSN: 1573-2878

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84867518941&doi=10.1007%2fs10957-012-9991-y&partnerID=40&md5=502ffff834e1a318d629fd2a6d6dd220

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we generalized a cyclic contraction on a partially ordered complete metric space. We prove some fixed point theorems as well as some theorems on the existence of best proximity points. Our results improve and extend some recent results in the previous work. ฉ 2012 Springer Science+Business Media, LLC.

Keywords

Generalized cyclic contraction, Property UC