Fixed Point Theorems for Mean Nonexpansive Mappings in CAT(0) Spaces

Jing Zhou, Yunan Cui · Numerical Functional Analysis and Optimization · 2015

In this article, we prove the existence of fixed points and the demiclosed principle for mean nonexpansive mappings in Cartan, Alexandrov and Toponogov(0) spaces. We also obtain a Δ-convergence theorem and a strong convergence theorem of Ishikawa iteration for mean nonexpansive mappings in Cartan, Alexandrov and Toponogov(0) spaces.

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