| 一类非光滑B-(p,r)-规划问题的最优性条件 |
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| 引用本文： | 谢海玲,尚有林.一类非光滑B-(p,r)-规划问题的最优性条件[J].河南科技大学学报(自然科学版),2011,32(5):68-70,76,2. |
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| 作者姓名： | 谢海玲 尚有林 |
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| 作者单位： | 河南科技大学数学与统计学院,河南洛阳,471003 |
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| 基金项目： | 国家自然科学基金项目(10771162,10971053); 河南省自然科学基金项目(094300510050) |
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| 摘 要： | 针对目标函数和约束函数是正则弱Lipschitz的非光滑规划问题,在一定的条件下,给出并证明了带有等式和不等式约束的非光滑B-(p,r)-规划问题的最优性条件,讨论了KKT条件与局部最优解之间的关系。
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| 关 键 词： | B-(p r)-不变凸 非光滑规划 最优性条件 |
Optimality Conditions of a Class of Nonsmooth B-(p,r)-invex Programming Problem |
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| XIE Hai-Ling,SHANG You-Lin.Optimality Conditions of a Class of Nonsmooth B-(p,r)-invex Programming Problem[J].Journal of Henan University of Science & Technology:Natural Science,2011,32(5):68-70,76,2. |
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| Authors: | XIE Hai-Ling SHANG You-Lin |
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| Institution: | XIE Hai-Ling,SHANG You-Lin(Mathematics & Statistics School,Henan University of Science & Technology,Luoyang 471003,China) |
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| Abstract: | In view of the objective function and constraint functions being the regular weak Lipchitz under certain conditions,this paper proves the optimality condition of non-smooth programming about B-(p,r) question which has the equality and the inequality constraints.The condition KKT and local optimal solution relationship are discussed. |
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| Keywords: | B-(p r)-invex Nonsmooth programming Optimality conditions |
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