| 一类非光滑广义凸多目标规划的最优性条件 |
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| 引用本文： | 王荣波.一类非光滑广义凸多目标规划的最优性条件[J].安徽大学学报(自然科学版),2009,33(2). |
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| 作者姓名： | 王荣波 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 基金项目： | 国家自然科学基金，陕西省教育厅专项基金，延安大学研究生科研基金 |
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| 摘 要： | 利用右方向导数,给出了一类新的广义一致半局部b-预不变凸函数、广义一致半局部拟b-预不变凸函数等,并在一定的条件下,得出了涉及这类非光滑广义凸函数的多目标半无限规划的最优性条件,包括Fritz-John条件和Kubn-Tucker条件.
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| 关 键 词： | 广义一致半局部b-预不变凸函数 多目标半无限规划 最优性条件 有效解 |
Optimality conditions for a class of nonsmooth generalized convex multiobjective programming |
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| WANG Rong-bo.Optimality conditions for a class of nonsmooth generalized convex multiobjective programming[J].Journal of Anhui University(Natural Sciences),2009,33(2). |
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| Authors: | WANG Rong-bo |
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| Institution: | Department of Mathematics and Computer Science;Yan'an University;Yan'an 716000;China |
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| Abstract: | In the paper,several nonsmooth generalized unifrom semilocally b-preinvex functions were pressented by means of the concept of righr-directional derivatives and under certain assumptions,the optimality conditions including of Fritz-John conditions and Kuhn-Tucker conditions for a class of nonsmooth generalized convex multiobjectives semi-infinite programming were obtained. |
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| Keywords: | generalized uniform semilocally b-preinvex functions multiobjectives semi-infinite programming optimality conditions efficient solution |
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