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http://dx.doi.org/10.7858/eamj.2015.007

COUPLED FIXED POINT THEOREMS FOR RATIONAL INEQUALITY IN GENERALIZED METRIC SPACES  

Singh, Deepak (Department of Applied Sciences, NITTTR)
Tomar, Surjeet Singh (Department of Mathematics, Jai Narayan College of Technology)
Rathore, M.S. (Department of Mathematics, Chandra Shekhar Azad Govt. P.G. College)
Chauhan, Varsha (Department of Mathematics, NRI Institute of Research and Technology)
Publication Information
East Asian mathematical journal / v.31, no.1, 2015 , pp. 65-75 More about this Journal
Abstract
In modern times, coupled fixed point theorems have been rigorously studied by many researchers in the milieu of partially ordered G-metric spaces using different contractive conditions. In this note, some coupled fixed point theorems using mixed monotone property in partially ordered G-metric spaces are obtained. Furthermore some theorems by omitting the completeness on the space and continuity conditions on function, are obtained. Our results partially generalize some existing results in the present literature. To exemplify our results and to distinguish them from the existing ones, we equip the article with suitable examples.
Keywords
Coupled coincidence point; common coupled fixed point; partially ordered set; mixed monotone mapping; generalized metric space; regular G-metric space;
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