Abstract
We compute coupled coincidence points without assuming the condition of compatibility of the pair of maps and relaxing the continuity condition of both the maps. In fact, our technique improves the technique introduced by Sintunavarat et al. (2011) which was then used by Hussain et al. (2012) to obtain coupled coincidence points.
Highlights
Introduction and PreliminariesIn recent times, the study of common fixed points of mappings under contractive conditions has developed rapidly
Nowadays, fixed point theory has been receiving much attention in partially ordered metric spaces, that is, metric spaces endowed with a partial ordering
Bhaskar and Lakshmikantham [31] developed some coupled fixed point theorems for a mapping satisfying mixed monotone property in partially ordered metric spaces
Summary
We compute coupled coincidence points without assuming the condition of compatibility of the pair of maps and relaxing the continuity condition of both the maps. Our technique improves the technique introduced by Sintunavarat et al (2011) which was used by Hussain et al (2012) to obtain coupled coincidence points
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