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

Electronic Journal of Differential Equations

article

Hamza El Bazi¹  Abdellatif Sadrati¹ 

[1] MSISI Laboratory, AM2CSI Group Department of Mathematics, FST, Erracidia University Moulay Ismail of Meknes

关键词: Fixed point theorem;    hyperbolic metric space;    integral equationmixed monotone operator;    monotone nearly asymptotically nonexpansive operator.;   

DOI  :  10.58997/ejde.2022.66

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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.

【 授权许可】

CC BY