Fixed Point of Modified <i>F</i>-Contraction with an Application

Fixed Point of Modified <i>F</i>-Contraction with an Application

In this paper, we prove the existence of fixed points for every 2-rotative continuous mapping in Banach spaces to answer an open question raised by Goebel and Koter. Further, we modify <i>F</i>-contraction by developing <i>F</i>-rotative mapping and establish some fixed-point...

Full description

Bibliographic Details
Main Authors: Min Wang, Naeem Saleem, Shahid Bashir, Mi Zhou
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Axioms
Subjects:
mean non-expansive mapping
<i>F</i>-contraction
rotative mapping
fixed point
Online Access:https://www.mdpi.com/2075-1680/11/8/413
Description
Summary:In this paper, we prove the existence of fixed points for every 2-rotative continuous mapping in Banach spaces to answer an open question raised by Goebel and Koter. Further, we modify <i>F</i>-contraction by developing <i>F</i>-rotative mapping and establish some fixed-point theorems. Finally, we apply our results to prove the existence of a solution of a non-linear fractional differential equation.
ISSN:2075-1680

Similar Items