Coupled fixed point theorems for weak contraction mappings under F -invariant set

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Sintunavarat W., Cho Y.J., Kumam P.

Publisher: Hindawi

Publication year: 2012

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2012

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84862274675&doi=10.1155%2f2012%2f324874&partnerID=40&md5=7aab7cf545b45b5ed7768409cd95daf2

Languages: English-Great Britain (EN-GB)

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Abstract

We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the coupled fixed point by the results of Cho et al. but can be applied to our results. The main results extend and unify the results of Cho et al. and many results of the coupled fixed point theorems. ฉ Copyright 2012 Wutiphol Sintunavarat et al.

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