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Decrease of \(C^{1,1}\) property in vector optimization. (English) Zbl 1193.49016

Summary: We generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of \(\ell\)-stability for vector functions.

MSC:

49K10 Optimality conditions for free problems in two or more independent variables
49J52 Nonsmooth analysis
49J50 Fréchet and Gateaux differentiability in optimization
90C29 Multi-objective and goal programming
90C30 Nonlinear programming
49K40 Sensitivity, stability, well-posedness
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