測地距離空間におけるgeneralized nonexpansive写像を用いたPicard-Mann型の収束定理 (非線形解析学と凸解析学の研究)

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  • Convergence theorems of Picard-Mann iteration for generalized nonexpansive mappings on a geodesic space (Study on Nonlinear Analysis and Convex Analysis)
  • Convergence theorems of Picard-Mann iteration for generalized nonexpansive mappings on a geodesic space

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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.

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