变序结构局部弱非控点的二阶刻画

doi:10.15960/j.cnki.issn.1007-6093.2019.01.005

Abstract

Abstract:

A kind of second-order tangent derivatives is introduced, with which a second-order necessary optimality condition is established for set-valued optimization with variable ordering structure in the sense of local weakly nondominated points. Under special circumstances, a first-order necessary optimality condition is obtained. The relationship to second-order contingent tangent derivatives for the sum of two set-valued maps is given under some constraint qualification indued by modified Dubovitskij-Miljutin tangent cones. Further more, a necessary optimality condition is obtained where the objective and constraining functions are considered separately with respect to second-order contingent tangent derivatives.

Key words: variable ordering structure, local weakly nondominated point, secondorder tangent derivative

CLC Number:

O221.6

XU Yihong, MEI Fang. Second-order characterizations for local weakly nondominated points with variable ordering structure[J]. Operations Research Transactions, 2019, 23(1): 45-52.

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Second-order characterizations for local weakly nondominated points with variable ordering structure

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