New Fixed Point Results for Generalized Controlled Metric Type Spaces

Abstract

In this manuscript, we present and develop different F-contraction methods using new kinds of contractions, namely Fg-contraction and extended Fg-contraction in the context of generalized controlled metric type spaces. We then suggest a easy and effective solution for fredholm integral equations using the fixed-point method in the framework of generalized controlled metric type spaces. We also provide an illustrative example to demonstrate the efficiency of the work that has been developed.