New coincidence point and fixed point theorems for essential distances\n and $e^{0}$-metrics

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