Fixed Point Results in Orthogonal Modular Metric Spaces

Abstract

First we generalize the notion of O-sets and then we establish some fixed point theorems for Banach's contraction and Suzuki type Θ-contraction in the setting of orthogonal modular metric spaces. The obtained results extend, generalize and improve many fixed point results given by some authors in the literature. Some examples are furnished to demonstrate the validity of these results.