Common coupled fixed point theorems for Geraghty-type contraction mappings using monotone property

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Kadelburg Z., Kumam P., Radenović S., Sintunavarat W.

Publisher: SpringerOpen

Publication year: 2015

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

Volume number: 2015

Issue number: 1

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84923786231&doi=10.1186%2fs13663-015-0278-5&partnerID=40&md5=ea42d8475b65b4e8718f8cc9fa6102c2

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we prove common coupled fixed point theorems under a Geraghty-type condition using monotone instead of the often used mixed monotone property. Also we give some sufficient conditions for the uniqueness of a common coupled fixed point. An example illustrating our results is provided. ฉ 2015, Kadelburg et al.; licensee Springer.

Keywords

Geraghty-type condition