ITERATIVE APPROXIMATION OF FIXED POINTS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

Shuechin Huang

doi:10.11650/twjm/1500404750

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Home > Journals > Taiwanese J. Math. > Volume 11 > Issue 3 > Article

2007 ITERATIVE APPROXIMATION OF FIXED POINTS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

Shuechin Huang

Taiwanese J. Math. 11(3): 645-660 (2007). DOI: 10.11650/twjm/1500404750

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Abstract

The purpose of this paper is to use viscosity approximation methods for a finite family of asymptotically nonexpansive mappings to establish the necessary and sufficient conditions for the iterative sequence to converge to a common fixed point of those mappings in uniformly convex Banach spaces.

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Shuechin Huang. "ITERATIVE APPROXIMATION OF FIXED POINTS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS." Taiwanese J. Math. 11 (3) 645 - 660, 2007. https://doi.org/10.11650/twjm/1500404750

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Published: 2007

First available in Project Euclid: 18 July 2017

zbMATH: 1153.58008

MathSciNet: MR2340156

Digital Object Identifier: 10.11650/twjm/1500404750

Subjects:

Primary: 58E35

Keywords: asymptotically nonexpansive mapping , demiclosedness , normalized duality mapping , smooth Banach space , uniform normal structure , uniformly convex Banach space , uniformly Gâteaux differentiable norm , weakly sequential continuity

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Taiwanese J. Math.

Vol.11 • No. 3 • 2007

Mathematical Society of the Republic of China

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Shuechin Huang "ITERATIVE APPROXIMATION OF FIXED POINTS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS," Taiwanese Journal of Mathematics, Taiwanese J. Math. 11(3), 645-660, (2007)

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