Necessary optimality conditions in problems involving set-valued maps with parameters.
---Publisher, magazine: ,
Publication year: 2001
Lưu Trích dẫn Chia sẻAbstract
The Fritz John and Kuhn-Tucker necessary optimality conditions are proved for problem min F(x,u), s.t. G(x, u) ⊂ −M, 0 ∈ P(x,u) or s.t. G(x, u)∩(−M) 6= ∅, 0 ∈ P(x,u), where x is the state variable, u is a parameter, F, G and P are multifunctions.
Tags: Fritz John and Kuhn-Tucker necessary optimality conditions, uniform K-differentiability in a direction, K-convexlikeness, K-strong lower semicontinuity with T, approximate-convexlikeness, weak K-convexlikeness strong with respect to P
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