应用数学2025，Vol.38Issue(2)：565-573,9.
基于凸化集的具有均衡约束的非光滑半无限规划对偶理论研究
Duality for Nonsmooth Semi-infinite Programming with Equilibrium Constraints,Using Convexificators
摘要
Abstract
The properties of nonsmooth semi-infinite programming problems with equilibrium con-straints are discussed in this paper.By using convexificators,the mixed dual model for the nonsmooth sem-infinite programming problems with equilibrium constraints are proposed.Different from the convex-ity in traditional duality theory,∂*-convex and ∂*-invex assumptions are considered by convexificators.In this paper,the weak duality theorem and strong duality theorem are established between nonsmooth semi-infinite programming with equilibrium constraints and its dual problem.关键词
半无限规划/均衡约束/凸化集/对偶Key words
Semi-infinite programming/Equilibrium constraint/Convexificator/Duality分类
数学引用本文复制引用
范红莲,苏珂..基于凸化集的具有均衡约束的非光滑半无限规划对偶理论研究[J].应用数学,2025,38(2):565-573,9.基金项目
河北省自然科学基金(A2022201002) （A2022201002）
