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Solving variational inequality and fixed point problems by line searches and potential optimization

✍ Scribed by Thomas L. Magnanti; Georgia Perakis

Book ID: 106275371
Publisher: Springer-Verlag
Year: 2004
Tongue: English
Weight: 228 KB
Volume: 101
Category: Article
ISSN: 0025-5610
DOI: 10.1007/s10107-003-0476-5

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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