Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
Bancha Nanjaras, Bancha Panyanak · Fixed Point Theory and Applications · 2010
Abstract We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a "Equation missing"-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.