Journal of Automation and Information Sciences
Выходит 12 номеров в год
ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
On S-Homogenization of Linear Variational Inequalities in Banach Spaces. Regular Case
Том 33,
Выпуск 9, 2001,
11 pages
DOI: 10.1615/JAutomatInfScien.v33.i9.30
Краткое описание
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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