Construction of fixed points of asymptotically nonexpansive mappings in\n uniformly convex hyperbolic spaces

2020/08/10 by Andrei Sipoş, Sipos, Andrei
Computer Science · Engineering · Mathematics · #47H09 #47H10 #47J25 #FOS: Mathematics #Metric Geometry (math.MG) #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2008.03930

openalex publication_date 2020/08/10 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

Kohlenbach and Leustean have shown in 2010 that any asymptotically\nnonexpansive self-mapping of a bounded nonempty UCW-hyperbolic space has a\nfixed point. In this paper, we adapt a construction due to Moloney in order to\nprovide a sequence that converges strongly to such a fixed point.\n

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