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Weak and Strong Convergence for Fixed Points of Asymptotically Non-expansive Mappings

✍ Scribed by Ze Qing Liu; Shin Min Kang

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2004
Tongue: English
Weight: 162 KB
Volume: 20
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-004-0321-7

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## Abstract Let __E__ be a real reflexive Banach space having a weakly continuous duality mapping __J__~__φ__~ with a gauge function __φ__, and let __K__ be a nonempty closed convex subset of __E__. Suppose that __T__ is a non‐expansive mapping from __K__ into itself such that __F__ (__T__) ≠ ∅︁.