Fixed Point Theory and Applications volume 2010, Article number: 268780 (2010)
We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a 
-convergence theorem of the Krasnosel'skii-Mann iteration for asymptotically nonexpansive mappings in this setting. Our results extend and improve many results in the literature.
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Nanjaras, B., Panyanak, B. Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces. Fixed Point Theory Appl 2010, 268780 (2010). https://doi.org/10.1155/2010/268780
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DOI: https://doi.org/10.1155/2010/268780