| 向量优化问题的一类高阶对偶 |
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| 引用本文： | 杨瑞华. 向量优化问题的一类高阶对偶[J]. 渝西学院学报(自然科学版), 2012, 0(2): 5-8 |
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| 作者姓名： | 杨瑞华 |
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| 作者单位： | 重庆师范大学数学学院,重庆沙坪坝401331 |
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| 基金项目： | 国家自然科学基金资助项目（11171363）. |
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| 摘 要： | Meetu在文献[1]中介绍了高阶锥凸、高阶（强）锥伪凸和高阶拟凸．本文在其研究的基础上，考虑目标函数是高阶锥伪凸、约束函数是高阶锥拟凸的情况，并给出弱极小、极小的充分性条件．此外，在高阶广义凸性的假设下，建立了一类高阶对偶模型的弱对偶和强对偶结果．
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| 关 键 词： | 向量优化 高阶锥伪凸 高阶锥拟凸 高阶对偶 |
Higher order duality in vector optimization |
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| Affiliation: | YANG Rui - hua ( College of Mathematics, Chongqing Normal University, Shapingba Chongqing 401331, China) |
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| Abstract: | introduced minimum, Higher order cone convex, pseudo convex, strongly pseudo convex and quasiconvex functions are by Meetu [ 1 ]. In the paper, higher order sufficient optimality conditions are given for a weak minimum solution of a vector optimization problem under which an objective function is higher or-der cone pseudo convex and a constraint function is higher order cone quasiconvex. Moreover, weak and strong duality theorems are established for （HD） under these new generalized convexity assumptions. |
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| Keywords: | vector optimization higher order cone pseudo convex higher order cone quasiconvex higher order duality |
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