DUALITY FOR MINIMIZATION OF THE DIFFERENCE OF TWO F???????c-CONVEX FUNCTIONS

被引：0
|
作者：
Xu, Y. I. N. G. R. A. N. G. [1 ]
LI, S. H. E. N. G. J. I. E. [1 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2022年
基金：
中国国家自然科学基金;
关键词：
c-conjugacy; F-c-convex functions; evenly quasiconvex functions; Lagrange duality; Fenchel duality; COMPOSITE; OPTIMIZATION;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper concerns an optimization problem with objectives given as the difference of two Phi(c)-convex functions, where a set constraint and a conic constraint are involved. In the framework of c-conjugacy, where c is a coupling function, we firstly construct the generalized Lagrange and Fenchel dual problems by using the perturbation approach. Then, we obtain complete characterizations of the strong duality for these two dual problems, respectively. As applications, we provide corresponding results for minimization of the difference of two evenly quasiconvex functions.
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页数：15
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