Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space-Reference-Cited by-同舟云学术

Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space

Published:2022-06-14 Issue: Volume:2022 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Saleem Naeem¹^ORCID,Rashid Maliha²,Jarad Fahd³⁴^ORCID,Kalsoom Amna²

Affiliation:

1. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

2. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

3. Department of Mathematics, Cankaya University, 06790 Etimesgut, Ankara, Turkey

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi

ϱ

-preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is also used to obtain the convergence results for this mapping. Fixed point is approximated numerically in a nontrivial example by using Matlab.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/3785584.pdf

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