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Journal of Automation and Information Sciences

ISSN for PRINT: 1064-2315

Institutional price:	$2573.00
Issues per year:	12

Best Paper Award Selection - Editorial Board Site

2001, Volume33

82 pages

Issue price - $221.00

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

Peter I. Kogut
Dnepropetrovsk State Technical University of Railway Transport, Ukraine

Oleg V. Museyko
Dnepropetrovsk State Technical University of Railway Transport, Ukraine

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.