COUPLED FIXED POINT THEOREMS FOR WEAK CONTRACTION MAPPING UNDER F-INVARIANT SET

By Wutiphol Sintunavarat, Yeol Je Cho, Poom Kumam. 2012

52 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ba525a5aab33c5c4dca426e27b425a7e0f341053

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In Geometry and Topology

1. Poom Kumam
2. Wutiphol Sintunavarat
3. Jong Kyu Kim

Citations in the corpus

• Coupled best proximity point theorem in metric Spaces (2012, background): “Several improvements and generalizations of [14] have recently appeared in the literature (see [1, 30, 31] and references therein).”