广义一致(C,α,ρ,d)凸多目标半无限规划的最优性条件

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 241-249.

广义一致(C,α,ρ,d)凸多目标半无限规划的最优性条件

College of Mathematics and Computer Science, Yan’an University

收稿日期:2011-10-11 出版日期:2013-06-30 发布日期:2023-03-02
作者简介:ZHANG Qing-xiang(1954-), male, native of Ansai, Shaanxi, a professor of Yan’an University, engages in optimization theory, methods and application; ZHANG Yong-zhan(1985-), male, native of Dingbian, Shaanxi, a graduate of Yan’an University, engages in optimization theory, methods and applications.
基金资助:
Supported by the Science Foundation of Shaanxi Provincial Educational Department Natural Science Foundation of China(06JK152)； Supported by the Graduate Innovation Project of Yanan university(YCX201003)

The Optimality Conditions for Multiobjective Semi-inﬁnite Programming Involving Generalized Uniﬁed (C, α, ρ, d)-convexity

College of Mathematics and Computer Science, Yan’an University

Received:2011-10-11 Online:2013-06-30 Published:2023-03-02
About author:ZHANG Qing-xiang(1954-), male, native of Ansai, Shaanxi, a professor of Yan’an University, engages in optimization theory, methods and application; ZHANG Yong-zhan(1985-), male, native of Dingbian, Shaanxi, a graduate of Yan’an University, engages in optimization theory, methods and applications.
Supported by:
Supported by the Science Foundation of Shaanxi Provincial Educational Department Natural Science Foundation of China(06JK152)； Supported by the Graduate Innovation Project of Yanan university(YCX201003)

摘要/Abstract

摘要： The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unified (C, α, ρ, d)-strictly pseudoconvex functions are presented. The sufficient optimality conditions for multiobjective nonsmooth semi-infinite programming are obtained involving these generalized convexity lastly.

关键词: generalized convexity, multiobjective semi-infnite programming, effient solution; optimality conditions

Abstract: The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unified (C, α, ρ, d)-strictly pseudoconvex functions are presented. The sufficient optimality conditions for multiobjective nonsmooth semi-infinite programming are obtained involving these generalized convexity lastly.

Key words: generalized convexity, multiobjective semi-infnite programming, effcient solution; optimality conditions

中图分类号:

O221.6

张庆祥, 张永战. 广义一致(C,α,ρ,d)凸多目标半无限规划的最优性条件[J]. 数学季刊, 2013, 28(2): 241-249.

ZHANG Qing-xiang, ZHANG Yong-zhan. The Optimality Conditions for Multiobjective Semi-inﬁnite Programming Involving Generalized Uniﬁed (C, α, ρ, d)-convexity[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 241-249.