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.
