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Common fixed point theorems for contractive mappings satisfying \(\Phi\)-maps in \(S\)-metric spaces. (English) Zbl 1489.54219

Summary: In this paper we prove the existence of the unique fixed point for the pair of weakly compatible self-mappings satisfying some \(\Phi\)-type contractive conditions in the framework of \(S\)-metric spaces. Our results generalize, extend, unify, complement and enrich recently fixed point results in existing literature.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
54E40 Special maps on metric spaces
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