A sufficient and necessary condition for global optimization

作者：Wu, Dong-Hua^*; Yu, Wu-Yang; Zheng, Quan

来源：Applied Mathematics Letters, 2010, 23(1): 17-21.

DOI：10.1016/j.aml.2009.07.020

• Global optimization
• Optimality condition
• Essential infimum

We consider a class of global optimization problems, in which the objective function is Lebesgue integrable. In this paper, we present a sufficient and necessary condition for computing the essential infimum. This optimality condition can be used to design algorithms for solving the global optimization problem.

• 出版日期2010-1
• 单位南京大学; 杭州电子科技大学; 上海大学