Orthogonal F-contractions on O-complete b-metric space

Abstract

In this paper, we introduce the concepts of an orthogonal F-contractive type mapping, an orthogonal Kannan F-contractive type mapping and an orthogonal F-expanding type mapping. We prove some fixed point theorems for these mappings in orthogonal complete b-metric spaces. The obtained results generalize and extend some of the well known results in the literature. An example is presented to support our results.