Fixed Point Theorems for Mean Nonexpansive Mappings in CAT(0) Spaces |
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| Authors: | Jing Zhou Yunan Cui |
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| Institution: | 1. Department of Science , Harbin Institute of Technology , Harbin , P.R. China zhoujinggirl@126.com;3. Department of Mathematics , Harbin University of Science and Technology , Harbin , P.R. China |
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| Abstract: | 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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| Keywords: | Δ-convergence CAT(0) spaces Fixed points Mean nonexpansive mappings Metric spaces |
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