Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property

In this work, we show the existence of a coupled coincidence point and a coupled common fixed point for a φcontractive mapping in G-metric spaces without the mixed g-monotone property, using the concept of a (F*, g)-invariant set. We also show the uniqueness of a coupled coincidence point and give s...

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Bibliographic Details
Main Authors: Chaiporn Thangthong, Phakdi Charoensawan
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84901773728&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/53673
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Institution: Chiang Mai University
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Summary:In this work, we show the existence of a coupled coincidence point and a coupled common fixed point for a φcontractive mapping in G-metric spaces without the mixed g-monotone property, using the concept of a (F*, g)-invariant set. We also show the uniqueness of a coupled coincidence point and give some examples, which are not applied to the existence of a coupled coincidence point by using the mixed g-monotone property. Further, we apply our results to the existence and uniqueness of a coupled coincidence point of the given mapping in partially ordered G-metric spaces. © 2014 Thangthong and Charoensawan; licensee Springer.