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

In this article, we will study the existence and unique- ness of optimal common fixed points for self-mappings in metric spaces with w-distance. We obtain generalizations of the Kocev and Rakočević 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 w0-distance. In this way, we get new existence results for non-cyclic quasi-contraction map- pings of the Fisher type.