DISCUSSION ON b-METRIC SPACES AND RELATED RESULTS IN METRIC AND G-METRIC SPACES

Abstract

In the present manuscript, we employ the concepts of Θ-map and Φ-map to define a strong (θ,φ)s-contraction of a map f in a b-metric space (M,db). Then we prove and derive many fixed point theorems as well as we provide an example to support our main result. Moreover, we utilize our results to obtain many results in the settings of metric and G-metric spaces. Our results improve and modify many results in the literature.