Stability Analysis and Second-Order Optimality Conditions of Mathematical Program with Switching Constraints
TANG Lei
LI Gaoxi
MA Yiting
Abstract：This paper is concerned with the multiplier stability and second-order optimality conditions for mathematical programs with switching constraints(MPSC).In the context of the No Nonzero Abnormal Multiplier Constraint Qualification(MPSC-NNAMCQ),it proved that the M-multiplier mapping and the stationary point mapping are both locally bounded and upper semicontinuous.Moreover,it proved that the strong second-order sufficient condition for the refinement of the MPSC problem at a feasible point is equivalent to the strong second-order sufficient condition for the refinement of the S-multiplier,as well as that the strong second-order necessary optimality condition holds without any constraint specification condition.
Keywords：switching constraintsstabilitycontiguityrestrictive normoptimality condition
Publication Date：2025-09-30
Online Publishing Date：2025-10-17(First online date of this platform, not the publication date of the document)
Pages：7( 66-72 )