Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 268780, 14 pages
doi:10.1155/2010/268780

Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces

Abstract

We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a Δ-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.