Convergence theorems for asymptotically nonexpansive mappings in Banach spaces.
Su, Yongfu, Qin, Xiaolong, Shang, Meijuan (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property”
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Weak uniform normal structure and iterative fixed points of nonexpansive mappings
T. Domínguez Benavides, G. López Acedo, Hong Xu (1995)
Colloquium Mathematicae
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This paper is concerned with weak uniform normal structure and iterative fixed points of nonexpansive mappings. Precisely, in Section 1, we show that the geometrical coefficient β(X) for a Banach space X recently introduced by Jimenez-Melado [8] is exactly the weakly convergent sequence coefficient WCS(X) introduced by Bynum [1] in 1980. We then show in Section 2 that all kinds of James' quasi-reflexive spaces have weak uniform normal structure. Finally, in Section 3, we show that in...