应用数学2024，Vol.37Issue(4)：1038-1049,12.
具有混合约束半无限规划的高阶(φ,ρ)-V-不变凸性和对偶性
Higher-order(φ,ρ)-V-Invexity and Duality for Semi-infinite Programming with Mixed Constraints
摘要
Abstract
In semi-infinite programming problems,the generalization of convexity and the estab-lishment of dual models are two very important components.In this paper,we introduce a class of higher-order(φ,ρ)-V-invexity function.Under the assumption of higher-order(φ,ρ)-V-invexity function,a class of semi-infinite programming problems with mixed constraints are researched,and the dual models of Wolfe and Mond-Weir type are constructed.The corresponding weak,strong and strict converse duality theorems are obtained.关键词
半无限规划/Wolfe型对偶/Mond-Weir型对偶/高阶(φ,ρ)-V-不变凸性Key words
Semi-infinite programming/Wolfe type dual/Mond-Weir type dual/Higher-order(φ,ρ)-V-invexity分类
数理科学引用本文复制引用
赵冰,苏珂..具有混合约束半无限规划的高阶(φ,ρ)-V-不变凸性和对偶性[J].应用数学,2024,37(4):1038-1049,12.基金项目
河北省自然科学基金(A2022201002) （A2022201002）
河北省研究生创新项目基金(CXZZSS2023008) （CXZZSS2023008）
