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Optimality conditions for strongly monotone variational inequalities. (English) Zbl 0779.49012
Summary: Necessary conditions for optimal controls have been obtained for strongly monotone variational inequalities by the penalty method, Ekeland’s Variational Principle, and lower-semicontinuity of set-valued mappings. It has been shown that these conditions are easy to apply and can imply some known necessary conditions. They also yield new optimality conditions.

49J40 Variational inequalities
49J50 Fréchet and Gateaux differentiability in optimization
Full Text: DOI
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