Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
classification
🧮 math.FA
math.LO
keywords
mappingsasymptoticallyconvexeffectivefixedhyperbolicnonexpansivepoint
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This paper provides a fixed point theorem for asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces as well as new effective results on the Krasnoselski-Mann iterations of such mappings. The latter were found using methods from logic and the paper continues a case study in the general program of extracting effective data from prima-facie ineffective proofs in the fixed point theory of such mappings.
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