Thursday, 13:15 - 13:40 h, Room: MA 313


Igor Konnov
Extended systems of primal-dual variational inequalities


A system of variational inequalities with general mappings,
which can be regarded as an extension of Lagrangean primal-dual systems of constrained problems, is considered.
Many equilibrium type problems can be written in this format.
In particular, we show that this problem is suitable for modelling various complex systems including spatial telecommunication, transportation, and economic ones. However, the basic mappings can be multi-valued and even non-monotone in real applications. This fact creates certain difficulties for providing convergence of many existing iterative methods.
In this talk, we describe several families of iterative solution methods for the above system which are adjusted to the mappings properties. In particular, they are applicable both for the single-valued and for the multi-valued case. Next, the methods are convergent under mild conditions and admit efficient computational implementation especially for
the spatially distributed problems.


Talk 1 of the invited session Thu.2.MA 313
"Iterative methods for variational inequalities" [...]
Cluster 3
"Complementarity & variational inequalities" [...]


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