带锥约束的复合优化问题的最优性条件

Abstract

Abstract:

By using the properties of subdifferentials, some new constraint qualifications are obtained, which characterize completely some optimality conditions for composite optimization problem with conical constraints. Moreover, saddle point theorems for the Lagrange function of this optimization problem are also given. Our results extend the corresponding results in the previous papers.

Key words: Composite optimization problem, Optimality condition, Saddle point, Conic programming

CLC Number:

O221.2

Lingli Hu, Donghui Fang. Optimality Conditions for Composite Optimization Problems with Conical Constraints[J].Acta mathematica scientia,Series A, 2018, 38(6): 1112-1121.

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References 13

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Optimality Conditions for Composite Optimization Problems with Conical Constraints

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