Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications |
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Authors: | Nguyen Dinh Tuan |
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Affiliation: | 1.Department of Mathematics and Statistics,University of Economics-Hochiminh City,Hochiminh City,Vietnam |
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Abstract: | Several notions of sequential directional derivatives and sequential local approximations are introduced. Under (first-order) Hadamard differentiability assumptions of the data at the point of study, these concepts are utilized to analyze second-order necessary optimality conditions, which rely on given sequences, for local weak solutions in nonsmooth vector optimization problems with constraints. Some applications to minimax programming problems are also derived. |
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