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http://dx.doi.org/10.14317/jami.2011.29.1_2.061

STRONG CONVERGENCE OF A METHOD FOR VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS OF A NONEXPANSIVE SEMIGROUP IN HILBERT SPACES  

Buong, Nguyen (Vietnamese Academy of Science anf Technology, Institute of Information Technology)
Publication Information
Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 61-74 More about this Journal
Abstract
In this paper, we introduce a new iteration method based on the hybrid method in mathematical programming and the descent-like method for finding a common element of the solution set for a variational inequality and the set of common fixed points of a nonexpansive semigroup in Hilbert spaces. We obtain a strong convergence for the sequence generated by our method in Hilbert spaces. The result in this paper modifies and improves some well-known results in the literature for a more general problem.
Keywords
Regularization; common fixed points; nonexpansive mappings;
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