$Convergence theorems for total asymptotically nonexpansive mappings in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces$

Convergence theorems for total asymptotically nonexpansive mappings in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces

Abstract The purpose of this paper is to study the convergence theorems in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces with k > 0 $k > 0$ for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically nonexpansive mapping, and asymptot...

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Bibliographic Details
Main Authors:	Shih-sen Chang, Liangcai Zhao, Min Liu, Jinfang Tang
Format:	Article
Language:	English
Published:	SpringerOpen 2023-02-01
Series:	Fixed Point Theory and Algorithms for Sciences and Engineering
Subjects:	Total asymptotically nonexpansive mappings CAT ( κ ) $\operatorname{CAT} (\kappa )$ space k > 0 $k > 0$ Demiclosedness principle Asymptotically nonexpansive mapping in the intermediate sense Asymptotically nonexpansive mapping
Online Access:	https://doi.org/10.1186/s13663-022-00739-2

Description
Summary:	Abstract The purpose of this paper is to study the convergence theorems in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces with k > 0 $k > 0$ for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically nonexpansive mapping, and asymptotically nonexpansive mappings in the intermediate sense. Our results generalize, unify, and improve several comparable results in the existing literature.
ISSN:	2730-5422

Convergence theorems for total asymptotically nonexpansive mappings in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces

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