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Let 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. MSC: 47H10, 47H04, 47H07.

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