Some fixed point results for a modified F-contractions via a new type of (α,β)-cyclic admissible mappings in metric spaces

Abstract

The aim of this paper is to define the new type of mappings which is called modified Suzuki-Berinde F -contraction mapping in the frame work of metric spaces. Fixed point theorems for such mappings in complete metric spaces are established. Furthermore, we present examples to support our main results, using this examples, we establish that our main results is a generalization of the fixed point result of Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory and Appl., 94, (2012)], Piri and Kumam [Some fixed point theorems concerning F -contraction in complete metric spaces, Fixed Point Theory and Appl.,210, (2014)] and a host of others in the literature. 2000 Mathematics Subject Classification: 47H09; 47H10; 49J20; 49J40