APPLICATION AND FIXED POINT THEOREMS FOR ORTHOGONAL GENERALIZED F-CONTRACTION MAPPINGS ON O-COMPLETE METRIC SPACE

Abstract

In this paper, we introduce the concepts of an orthogonal generalized F -contraction mapping and prove some fixed point theorems for a self mapping in an orthogonal metric space. The given results are generalization and extension some of the well-known results in the literature. An example to support our result is presented.