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Some fixed point theorems in Branciari metric spaces

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Abstract In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via auxiliary functions in the context of complete Branciari metric spaces endowed with… Click to show full abstract

Abstract In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via auxiliary functions in the context of complete Branciari metric spaces endowed with a transitive binary relation. Our results unify and extend some existing fixed point results in the related literature.

Keywords: branciari metric; theorems branciari; metric spaces; point; point theorems; fixed point

Journal Title: Mathematica Slovaca
Year Published: 2017

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