Convergence theorems of Picard-Mann iteration for generalized nonexpansive mappings on a geodesic space (Study on Nonlinear Analysis and Convex Analysis)
泰紀 木村, 翔 鳥居 · Kyoto University Research Information Repository (Kyoto University) · 2021
In this paper, we first prove existence of fixed points for generalized nonexpansive mappings which satisfy the so-called condition (E) in CAT(1) spaces. Then, we prove convergence theorems to them by using Picard-Mann hybrid iteration process.