A sufficient and necessary condition for global optimization |
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| Authors: | Dong-Hua Wu Wu-Yang Yu Quan Zheng |
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| Affiliation: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, PR China;2. Department of Mathematics, Nanjing University, Nanjing 210093, PR China;3. School of Management, Hangzhou Dianzi University, Zhejiang 310018, PR China |
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| Abstract: | 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. |
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