| Bs-不变凸半无限规划的最优性和对偶性 |
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| 引用本文： | 张庆祥. Bs-不变凸半无限规划的最优性和对偶性[J]. 曲阜师范大学学报, 2004, 30(2): 9-14 |
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| 作者姓名： | 张庆祥 |
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| 作者单位： | 延安大学数学与计算机科学学院,716000;延安大学数学研究所,716000,陕西延安市 |
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| 基金项目： | ResearchsupportedbytheScienceFoundationofShaanxiProvincialEducationalDepartment(0 1JK0 63 )andtheScienceFoundationofYan′anUniversity(YD2 0 0 3 -0 80，YDK2 0 0 3 -5 7)，PRC . |
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| 摘 要： | 放松了B-不变凸函数定义的要求，利用对称梯度提出了Bs-不变凸和严格Bs-不变凸函数，给出了一个是Bs-不变凸的，但非B不变凸、非S-不变凸、非B-预不变凸函数的例子，对于涉及Bs-不变凸和严格Bs-不变凸函数的半无限规划，得到了一些最优性充分条件和几个Mond-Weir型对偶性结果。
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| 关 键 词： | Bs-不变凸函数 半无限规划 最优性 对偶性 |
OPTIMALITY AND DUALITY FOR Bs-INVEX SEMI-INFINITE PROGRAMMING PROBLEM |
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| Abstract. OPTIMALITY AND DUALITY FOR Bs-INVEX SEMI-INFINITE PROGRAMMING PROBLEM[J]. Journal of Qufu Normal University(Natural Science), 2004, 30(2): 9-14 |
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| Authors: | Abstract |
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| Abstract: | A class of functions called B_s_invex and strictly B_s_invex functions is presented by relaxing the definition of B_invex function and using the concept of symmetric gradient. An example is given in which is B_s_invex but not B_invex, S_invex, and B_preinvex. The sufficient optimality conditions and Mond_Weir type duality results are obtained for a nondifferentiable nonlinear semi_infinite programming problem involving B_s_invex and strictly B_s_invex functions. |
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| Keywords: | B_s_invex function semi_infinite programming optimality duality |
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