Fixed point theorem for mixed monotone nearly asymptotically nonexpansive mappings and applications to integral equations

Date

2022-09-26

Authors

El Bazi, Hamza
Sadrati, Abdellatif

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This work concerns the existence of a fixed point for mixed monotone nearly asymptotically nonexpansive mappings. We extend and generalize some well-known results concerning nearly asymptotically nonexpansive mappings in a uniformly convex hyperbolic metric space. As application of our results, we study the existence of solutions for an integral equation.

Description

Keywords

Fixed point theorem, Hyperbolic metric space, Integral equation mixed monotone operator, Monotone nearly asymptotically nonexpansive operator

Citation

El Bazi, H., & Sadrati, A. (2022). Fixed point theorem for mixed monotone nearly asymptotically nonexpansive mappings and applications to integral equations. <i>Electronic Journal of Differential Equations, 2022</i>(66), pp. 1-14.

Rights

Attribution 4.0 International

Rights Holder

Rights License