UNIQUE POINT OF COINCIDENCE FOR TWO MAPPINGS WITH ϕ- OR ψ-φ-CONTRACTIVE CONDITIONS ON 2-METRIC SPACES

Abstract

We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ϕ-contractive conditions or ψ-φ-contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The obtained results generalize and improve many well-known and corresponding conclusions.

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