Existence and convergence of fixed point for a G-non-Lipschitzian mapping

Miskolc Mathematical Notes

article

Sajan Aggarwal¹  Izhar Uddin¹  Juan J. Nieto² 

[1] Jamia Millia Islamia, Department of Mathematics;Departamento de Estat´ıstica, An ´alise Matematica e Optimizaci ´on, Instituto de Matem ´aticas, Universidade de Santiago de Compostela

关键词: hyperbolic metric space;    G-nearly asymptotically nonexpansive mapping;    nonLipschitzian mapping;    fixed point theorems;    directed graph;   

DOI  :  10.18514/MMN.2022.3383

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

The existence of a fixed point in uniformly convex hyperbolic metric space endowed with graph of G-nearly asymptotically nonexpansive mapping has been proved. Further, we prove strong and $\Delta-$convergence of $M-$iteration to a fixed point has been proved for the same space and mapping. We also derived corollaries of our results in uniformly convex Banach space which are also independent new findings.

【 授权许可】

CC BY