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http://dx.doi.org/10.7858/eamj.2016.052

COUPLED FIXED POINTS FOR MIXED g-MONOTONE UNDER RATIONAL CONTRACTIVE EXPRESSIONS IN PARTIALLY ORDERED METRIC SPACES  

Nashine, Hemant Kumar (Department of Mathematics, Amity School of Applied Sciences, Amity University)
Gupta, Anita (Department of Mathematics, Dr C.V.Raman University)
Publication Information
East Asian mathematical journal / v.32, no.5, 2016 , pp. 745-765 More about this Journal
Abstract
We propose coupled fixed point theorems for maps satisfying contractive conditions involving a rational expression in the setting of partially ordered metric spaces. We also present a result on the existence and uniqueness of coupled fixed points. In particular, it is shown that the results existing in the literature are extend, generalized, unify and improved by using mixed monotone property. Given to support the useability of our results, and to distinguish them from the known ones.
Keywords
Partially ordered metric space; coupled fixed point; rational contractive expression; mixed monotone property;
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