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- Title
Iterative Methods for Pseudomonotone Variational Inequalities and Fixed-Point Problems.
- Authors
Yao, Yonghong; Postolache, Mihai
- Abstract
In this paper, we introduce an iterative scheme for finding a common element of the set of solution of a pseudomonotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings. The proposed iterative method combines two well-known schemes: extragradient and approximate proximal methods. We derive some necessary and sufficient conditions for strong convergence of the sequences generated by the proposed scheme.
- Subjects
ITERATIVE methods (Mathematics); MONOTONIC functions; VARIATIONAL inequalities (Mathematics); FIXED point theory; POINT set theory; NONEXPANSIVE mappings; STOCHASTIC convergence
- Publication
Journal of Optimization Theory & Applications, 2012, Vol 155, Issue 1, p273
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-012-0055-0