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Strong Convergence to Solutions for a Class of Variational Inequalities in Banach Spaces by Implicit Iteration Methods

Journal of optimization theory and applications, 2013-11, Vol.159 (2), p.399-411 [Peer Reviewed Journal]

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Title:
Strong Convergence to Solutions for a Class of Variational Inequalities in Banach Spaces by Implicit Iteration Methods
Author: Buong, Nguyen ; Phuong, Nguyen Thi Hong
Subjects: Algorithms ; Applications of Mathematics ; Banach space ; Banach spaces ; Calculus of Variations and Optimal Control; Optimization ; Convergence ; Engineering ; Gateaux ; Hilbert space ; Inequalities ; Mapping ; Mathematical models ; Mathematics ; Mathematics and Statistics ; Methods ; Norms ; Operations Research/Decision Theory ; Optimization ; Optimization algorithms ; Studies ; Theory of Computation
Is Part Of: Journal of optimization theory and applications, 2013-11, Vol.159 (2), p.399-411
Description: In this paper, in order to solve a variational inequality problem over the set of common fixed points of an infinite family of nonexpansive mappings on a real reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, we introduce two new implicit iteration methods. Their strong convergence is proved, by using new V -mappings instead of W -ones.
Publisher: Boston: Springer US
Language: English
Identifier: ISSN: 0022-3239
EISSN: 1573-2878
DOI: 10.1007/s10957-013-0350-4
Source: Alma/SFX Local Collection
ProQuest Central

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