Regularization methods for a class of variational inequalities in banach spaces

In this paper, we introduce two regularization methods, based on the Browder-Tikhonov and iterative regularizations, for finding a solution of variational inequalities over the set of common fixed points of an infinite family of nonexpansive mappings on real reflexive and strictly convex Banach spac...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2012-11, Vol.52 (11), p.1487-1496
Main Authors: Buong, Nguyen, Phuong, Nguyen Thi Hong
Format: Article
Language:English
Subjects:
Banach space
Banach spaces
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Hilbert space
Inequalities
Inequality
Iterative methods
Mapping
Mathematical analysis
Mathematical models
Mathematical programming
Mathematics
Mathematics and Statistics
Norms
Partial differential equations
Regularization
Regularization methods
Studies
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Summary:In this paper, we introduce two regularization methods, based on the Browder-Tikhonov and iterative regularizations, for finding a solution of variational inequalities over the set of common fixed points of an infinite family of nonexpansive mappings on real reflexive and strictly convex Banach spaces with a uniformly Gateaux differentiate norm.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542512110103