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

Abstract The purpose of this paper is to study the convergence theorems in $\operatorname{CAT} (\kappa )$ CAT ( κ ) 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.