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Information Journal Paper

Title

Optimal Common Fixed Point Results in Complete Metric Spaces with w-distance

Pages

  117-132

Abstract

 In this article, we will study the existence and uniqueness of Optimal common fixed points for self-mappings in metric spaces with w-distance. We obtain generalizations of the Kocev and Rako\v{c}evi\'{c} fixed point theorems. The obtained results do not require the continuity or the condition $(C;k)$ of maps,  but require the weaker condition $(W)$. We also improve some of our results when the metric space is equipped with a w$_0$-distance. In this way, we get new existence results for non-cyclic quasi-contraction mappings of the Fisher type.

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