Common fixed point and coincidence point of generalized contractions in ordered metric spaces

Abstract

Let (X,≤) be a partially ordered set and d be a complete metric on X. The notion of f -contractive for a set-valued mapping due to Latif and Beg is extended through an implicit relation. Coincidence and fixed point results are obtained for mappings satisfying generalized contractions in a partially ordered metric space X. Our results improve and extend several known results in the existing literature. © 2012 Beg and Butt; licensee Springer.