TITLE:
Coupled Fixed Point for (α, Ψ)-Contractive in Partially Ordered Metric Spaces Using Compatible Mappings
AUTHORS:
Preeti, Sanjay Kumar
KEYWORDS:
Coupled Coincidence Point, α-ψ-Contractive Mapping, Compatible Mappings
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.8,
July
30,
2015
ABSTRACT: In this paper, first we introduce notions of (α, Ψ)-contractive and (α)-admissible for a pair of map and prove a coupled coincidence point theorem for compatible mappings using these notions. Our work extends and generalizes the results of Mursaleen et al. [1]. At the end, we will provide an example in support of our result.