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- W2149988737 abstract "Abstract An existence theorem for a fixed point of an α -nonexpansive mapping of a nonempty bounded, closed and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we show that appropriate Ishikawa iterate algorithms ensure weak and strong convergence to a fixed point of such a mapping. Our theorems are also extended to <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mo>CAT</mml:mo><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>)</mml:mo></mml:math> spaces. AMS Subject Classification: 54E40, 54H25, 47H10, 37C25." @default.
- W2149988737 created "2016-06-24" @default.
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- W2149988737 date "2013-03-14" @default.
- W2149988737 modified "2023-10-16" @default.
- W2149988737 title "Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and Equation missing No EquationSource Format=TEX, only image and EquationSource Format=MATHML spaces" @default.
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- W2149988737 doi "https://doi.org/10.1186/1687-1812-2013-57" @default.
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