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Methods for solving unstable equilibrium programming problems with coupled variables. (English) Zbl 1196.90127
Maksimov, V. I. (ed.), Dynamical systems: modeling, optimization, and control. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica, Pleiades Publishing/distrib. by Springer. Proc. Steklov Inst. Math. 2006, Suppl. 1, S229-S246 (2006); translation from Tr. Inst. Mat. Mekh. 12, No. 1, 48-63 (2006).
Summary: Regularization (stabilization, residual and quasisolution) methods for solving an unstable equilibrium programming problem are proposed for the case when not only the objective function but also the set determined by coupled inequality constraints are given inexactly. The convergence of these methods is studied. A regularizing operator is constructed.
For the entire collection see [Zbl 1116.37003].
MSC:
90C47 Minimax problems in mathematical programming
90C31 Sensitivity, stability, parametric optimization
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