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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On S-Homogenization of Linear Variational Inequalities in Banach Spaces. Regular Case

Volume 33, Issue 9, 2001, 11 pages
DOI: 10.1615/JAutomatInfScien.v33.i9.30
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ABSTRACT

The problem of limiting transition (as e ® 0) for sequences of variational inequalities is considered. The method of homogenization based on S-convergence of a sequence of extremal problems, that are equivalent to the original sequence of variational inequalities, is suggested. Conditions, under which the limiting (homogenized) variational inequality is expressed in terms of a G-limiting operator and its unique solution is the weak limit for a sequence consisting of solutions of variational inequalities as e ® 0, are found.

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