摘要
本文研究一类非凸连续全局最优化问题的最优性条件.通过构造含有参数的辅助函数,且对辅助函数作极限运算,得到一种基于积分运算的积分型全局最优性条件,并利用该辅助函数得到非凸规划问题全局最优解的一些充分必要条件.
The aim of this paper is to develop optimality conditions for a general class of noncon - vex global optimization problem with continuous variables. In this paper, the auxiliary function with one parameter is proposed for the original objective function. With a limit computation process of the auxiliary function, the integral global optimality condition is achieved. Furthermore, some necessary and sufficient conditions for the general class of nonconvex programming discussed in the paper are obtained in terms of the auxiliary function.
出处
《数学理论与应用》
2015年第3期16-22,共7页
Mathematical Theory and Applications
基金
山东省优秀中青年科学家科研奖励基金资助(BS2013SF014)
关键词
全局最优化
最优性条件
积分
充要条件
Global optimization Optimality condition Integral Necessary and sufficient condition
