Convergence theorems for total asymptotically nonexpansive mappings in $\operatorname{CAT} (\kappa )$ spaces
Shih-sen Chang, Liangcai Zhao, Min Liu, Jinfang Tang · Fixed Point Theory and Algorithms for Sciences and Engineering · 2023
Abstract The purpose of this paper is to study the convergence theorems in $\operatorname{CAT} (\kappa )$ CAT(κ) spaces with $k > 0$ k>0 fortotal asymptotically nonexpansive mappingswhich 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.