Scaled constraint qualifications and necessary optimality conditions for nonsmooth mathematical programs with second-order cone complementarity constraints

被引：0

作者：

Hajheidari, A. ^{[1
]}

Movahedian, N. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Appl Math & Comp Sience, POB 81745-163, Esfahan, Iran

来源：

POSITIVITY | 2022年 / 26卷 / 01期

关键词：

Mathematical program with second-order cone complementarity constraints; Constraint qualification; M-stationary; S-stationary; Nonsmooth analysis; Necessary optimality condition; CALMNESS;

D O I：

10.1007/s11117-022-00878-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a nonsmooth mathematical program with second-order cone complementarity constraints (SOCMPCC) is studied. First scaled and strong scaled necessary optimality results are derived for a general nonsmooth optimization problem. Then the SOCMPCC is formulated as a general optimization problem whose constraint system is described by the graph of the projection operator over the second-order cone. Next exact expressions for the tangents and normals to this graph are established. Finally, the scaled M- and S-stationary necessary optimality results are verified for nonsmooth SOCMPCC under new weak scaled constraint qualifications. A number of examples are provided to illustrate the results obtained.

引用

页数：42

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