| 非光滑非凸多目标规划解的充分条件 |
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| 引用本文： | 刘三阳.非光滑非凸多目标规划解的充分条件[J].应用数学,1991,4(1):58-63. |
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| 作者姓名： | 刘三阳 |
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| 作者单位： | 西安电子科技大学应用数学系 710071 |
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| 摘 要： | Kuhn-Tucker型条件的充分性一直是最优化理论中引人注意的一个问题.本文对非光滑函数提出了几个非凸概念,然后,讨论了非光滑非凸多目标规划中Kuhn-Tucker型条件和Fritz John型条件的充分性,在很弱的条件下,建立了一系列充分条件.
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| 关 键 词： | 多目标规划 弱有效解 非光滑函数 充分条件 |
Sufficient Conditions for Solution in Nonsmooth Nonconvex Multiobjective Programming |
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| Liu Sanyang.Sufficient Conditions for Solution in Nonsmooth Nonconvex Multiobjective Programming[J].Mathematica Applicata,1991,4(1):58-63. |
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| Authors: | Liu Sanyang |
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| Institution: | Xidian University |
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| Abstract: | Sufficiency of the Kuhn-Tucker type conditions is always a noticeablfe problem in optimization theory. In this paper, several nonconvex concepts for nonsmooth functions are presented, and then, sufficiency of Kuhn-Tucker type and Fritz John type conditions in nonsmooth nonconvex multiobjective programming is discussed, a series of sufficient conditions are established under weak assumptions. |
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| Keywords: | Multiobjective programming Weak efficient solutions Nonsmooth functions Sufficient conditions |
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