On new extensions of F-contraction with an application to integral inclusions

Abstract

The purpose of this study is to present some fixed point theorems by combining the contractions of Geraghty and Hardy-Rogers with F-contraction and ?-admissible concept in the setting of set-valued mappings under weaker conditions. We derive new fixed point results on a metric space endowed with a partial ordering/graph by using the results obtained herein. We give also an example and an application to support new theory. © 2019, Politechnica University of Bucharest. All rights reserved.