Mixed Type Duality for Nonsmooth Multiobjective Semi-Infinite Programming Problems
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摘要: 该文研究了非光滑多目标半无限规划问题的混合型对偶.首先,利用Lagrange函数介绍了非光滑多目标半无限规划混合型对偶的弱有效解和有效解的定义.其次,利用Dini-伪凸性建立了非光滑多目标半无限规划混合型对偶的弱对偶定理、强对偶定理和逆对偶定理.该文所得结果推广了已有文献中的主要结果.Abstract: The mixed type duality for nonsmooth multiobjective semi-infinite programming problems was studied. Firstly, by the Lagrange function, the definitions of weakly efficient solutions and efficient solutions to the mixed type duality were introduced. Secondly, by means of the Dini-pseudoconvexity, the weak duality theorems, the strong duality theorems and the converse duality theorems were obtained. The results generalize the main results in previous literatures.
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