Convergence theorems for fixed points in CATp(0) spaces

Journal article

Authors/Editors

SONGPON SRIWONGSA

Strategic Research Themes

Digital Transformation (Strategic Research Themes)

Publication Details

Author list: Sani Salisu, Ma’aruf Shehu Minjibir, Poom Kumam, Songpon Sriwongsa

Publisher: Springer

Publication year: 2023

Journal: Journal of Applied Mathematics and Computing (1598-5865)

Volume number: 69

Issue number: 1

Start page: 631

End page: 650

Number of pages: 20

ISSN: 1598-5865

eISSN: 1865-2085

URL: https://link.springer.com/article/10.1007/s12190-022-01763-6

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Abstract

In this paper, we study a generalized class of nonexpansive mappings in the setting of CATp(0) spaces and establish that themappings have a demiclosedness-type property. We state some conditions under which a sequence -converges to a fixed point of any given map having such fixed point. Also, we introduce JK iteration in CATp(0) setting and prove some convergence theorems. Furthermore, we apply the result to solve
minimization problems in CAT(0) spaces, computemean and medium, and track a task in robotic motion control. Finally,we give numerical examples in aCATp(0) space that is not CAT(0) space and in a non-Hilbert CAT(0) space, to show the implementation of the proposed scheme.

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