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On convergence of descent methods for variational inequalities in a Hilbert space

✍ Scribed by I. V. Konnov; Sangho Kum; Gue Myung Lee

Publisher: Springer
Year: 2002
Tongue: English
Weight: 122 KB
Volume: 55
Category: Article
ISSN: 0340-9422
DOI: 10.1007/s001860200192

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## Abstract In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an __α__ ‐inverse strongly monotone mapping in a Hilbert space. We show that the sequence converge