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Information Journal Paper

Title

Common Fixed Points Via R-Functions and Digraphs with an Application to Homotopy Theory

Pages

  67-94

Abstract

 The basic purpose of this article is to introduce the concept of R-λ-G-contraction by using R-functions, Lower semi-continuous functions and Digraphs and discuss the existence and uniqueness of points of coincidence and Common fixed points for a pair of self-mappings satisfying such contractions in the setting of metric spaces endowed with a graph. As some consequences of our results, we obtain several recent results in metric spaces and partial metric spaces.

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