AVVISO DI SEMINARIO --------------------------------------------------------------- Nei giorni 14 e 15 giugno il Prof. Igor Konnov (Kazan University) terrà 2 seminari nella Sala Seminari del Dipartimento di Matematica Applicata "U. Dini" - Università di Pisa, via Bonanno 25/b, Pisa.
14 giugno ore 10: Combined Relaxation Methods for Variational Inequalities with Single-valued Mappings
ABSTRACT: Variational inequalities proved to be a very useful and powerful tool for investigation and solution of many equilibrium type problems in Economics, Engineering,Operations Research and Mathematical Physics. The talk is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relaxation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. We describe the methods for variational inequality problems with single-valued mappings.
15 giugno ore 10: Combined Relaxation Methods for Variational Inequalities with Multi-valued Mappings
ABSTRACT: We intend to to describe combined relaxation (CR) methods for variational inequality problems with multi-valued mappings. The basic principles of the CR approach claim that an iteration of most descent methods can serve as a basis for the auxiliary procedure with a regular rule of determining a separating hyperplane and that there are a number of rules for choosing the parameters of both the levels. Following these principles, we now indicate ways of creating various classes of CR methods. We begin our considerations from the mixed variational inequalities which constitute a significant subclass of these problems. ------------------------------------------------------------------ Mauro Passacantando Department of Applied Mathematics
Antonella Giacomelli Dipartimento di Matematica Applicata "U.Dini" Via Bonanno Pisano 25 B 56126 - Pisa Tel.: 050 2219452 Fax: 050 2219450
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