Generalization of Fixed Point Results via Iterative Process of <i>F</i>-Contraction

Abstract

The aim of this paper to discuss generalized iterative process of F-contraction and establish new fixed point theorems in complete metric spaces. As an application of our results, we prove existence and uniqueness of functional equations and system of differential equations. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.

Existence and stability results for fixed points of multivalued $F$ contractions and application to Volterra type non homogeneous integral equation of second kind

“…To fulfill our purpose we use the recent technique, which was given by Wardowski [37]. For the sake of completeness, we will discuss the basic lines [23,24,25].…”

New Types of F-Contraction for Multivalued Mappings and Related Fixed Point Results in Abstract Spaces

“…Wardowski [21] generalized many fixed point results in a beautiful way by introducing −contraction (see also [6,[22][23][24][25][26][27][28][29][30]). Nadler [31] extended Banach's contraction mapping principle to a fundamental fixed point theorem for multivalued mappings.…”