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

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_۰-distance. In this way, we get new existence results for non-cyclic quasi-contraction mappings of the Fisher type.

کلیدواژه ها:

Optimal common fixed point ، Fisher-type inequality ، Non-cyclic quasi-contraction mappings of Fisher type ، w-distance ، Condition W