A fixed point theorem for F-Khan-contractions on complete metric spaces and application to integral equations, By Hossein Piri

Research

Title	A fixed point theorem for F-Khan-contractions on complete metric spaces and application to integral equations
Type	Article
Keywords	Fixed point, metric space, integral equations
Researchers	Hossein Piri، Samira Rahrovi، Seyyed Hamid Reza Merasi، Poom Kumam

Abstract

n this article, we introduce a new concept of contraction called F-Khan-contractions and prove a fixed point theorem concerning this contraction which generalizes the results announced by Khan [M. S. Khan, Rend. Inst. Math. Univ. Trieste., 8 (1976), 69–72], Fisher [B. Fisher, Riv. Math. Univ. Parma., 4 (1978), 135–137], and Piri et al. [H. Piri, S. Rahrovi, P. Kumam, J. Math. Computer Sci., 17 (2017), 76–83]. An example and application for the solution of certain integral equations are given to illustrate the usability of the obtained results. c 2017 All rights reserved.