Iterative Methods for Approximating Two Asymptotically Nonexpansive Nonself-Mappings in CAT(0) Spaces

A. In this manuscript, we investigate the approximation of common fixed points for two nonself asymptotically nonexpansive mappings within the framework of CAT(0) spaces.We establish both weak and strong convergence theorems for a two-step iterative scheme that is tailored to the geometric structure of CAT(0) spaces.

Publication Details

Journal
Asia Pacific Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.28924/apjm/12-66
Primary Topic
Optimization and Variational Analysis
Type
article
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article

Iterative Methods for Approximating Two Asymptotically Nonexpansive Nonself-Mappings in CAT(0) Spaces

Asia Pacific Journal of Mathematics
Optimization and Variational Analysis
article

Iterative Methods for Approximating Two Asymptotically Nonexpansive Nonself-Mappings in CAT(0) Spaces

article en

Abstract

A. In this manuscript, we investigate the approximation of common fixed points for two nonself asymptotically nonexpansive mappings within the framework of CAT(0) spaces.We establish both weak and strong convergence theorems for a two-step iterative scheme that is tailored to the geometric structure of CAT(0) spaces.

Asia Pacific Journal of Mathematics
Reduced inequalities
Openalex Percentile: Top 81%
Optimization and Variational Analysis
DOIOpen Access PDFOpenAlex
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Iterative Methods for Approximating Two Asymptotically Nonexpansive Nonself-Mappings in CAT(0) Spaces · Asia Pacific Journal of Mathematics (2025) | TGRS Research Map | TGRS