New coincidence point and fixed point theorems for essential distances and $e^0$-metrics

Abstract

In this paper, we establish some new fixed point theorems and coincidence point theorems for essential distances and $e^0$-metrics which generalize and improve Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, Nadler's fixed point theorem and Banach contraction principle and many known results in the literature.