Fixed Point Theorems for Nonself Asymptotically Nonexpansive type Mappings in CAT(0) Spaces
Balwant Singh Thakur, Mohammad Saeed Khan, Dipti Thakur · Journal of Nonlinear Analysis and Application · 2015
In this paper, we propose a three-step iteration scheme for nonself asymptotically nonexpansive type mappings in a complete CAT(0) metric space and establish necessary and sufficient conditions for convergence of this process to a fixed point of nonself asymptotically nonexpansive type mappings. We also establish a strong convergence result. These results generalize and unify many important results in the literature.