Optimality conditions in global optimization and their applications
成果类型：
Article
署名作者：
Rubinov, A. M.; Wu, Z. Y.
署名单位：
Federation University Australia
刊物名称：
MATHEMATICAL PROGRAMMING
ISSN/ISSBN：
0025-5610
DOI：
10.1007/s10107-007-0142-4
发表日期：
2009
页码：
101-123
关键词：
摘要：
In this paper we derive necessary and sufficient conditions for some problems of global minimization. Our approach is based on methods of abstract convexity: we use a representation of an upper semicontinuous function as the lower envelope of a family of convex functions. We discuss applications of conditions obtained to the examination of some tractable sufficient conditions for the global minimum and to the theory of inequalities.