摘要
本文主要研究约束DC分式规划问题.通过借助共轭函数上图的性质,首先讨论了约束DC分式规划问题的全局最优解和局部最优解的必要条件或充分条件.作为应用,还阐明了许多关于优化问题的结果可以作为本文的特殊情况.
In this paper,a constrained DC fractional programming problem is considered.By using the properties of the epigraph of the conjugate functions,some sufficient and necessary optimaJity conditions for the constrained DC fractional programming problem are obtained.Some programming problems considered in the recent literature are the special cases of the constrained DC fractional programming problem.
出处
《数学进展》
CSCD
北大核心
2014年第6期895-904,共10页
Advances in Mathematics（China）
基金
supported by NSFC(No.11301570)
Basic and Advanced Research Project of CQ CSTC(No.cstc2013jcyjA00003)
China Postdoctoral Science Foundation Funded Project(No.2013M540697)
Research Fund of Chongqing Technology and Business University(No.2013-56-03)
关键词
最优性条件
DC函数
分式规划
optimality condition
DC function
fractional programming
