引用本文: | 谢小凤1 ,何 静2 ,赖 涵3.无穷维向量最优化问题的最优性条件(J/M/D/N,J:杂志,M:书,D:论文,N:报纸).期刊名称,2009,(3):219-222 |
| CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435 |
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摘要: |
摘 要:文[ 1 ]在有穷维空间中建立了可微多目标规划的最优性条件,并得出了一些有意义的结
论. 此处将这些结论推广到了无穷维空间中,得到了无穷维空间中向量最优化问题的最优性条件. |
关键词: 关键词:无穷维空间 约束规格 最优性必要条件 最优性充分条件 Pareto最优解 η—伪凸 |
DOI: |
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The optima lity conditions of inf in itevector optim iza tion problems |
XIE Xiao2feng1 , HE J ing2 , Lai Han3
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Abstract: |
Abstract: In paper [ 1 ] , the author established the op timality conditions for the finite dimensionalmultiobjec2
tive differentiable p rogramming, and got a series ofmeaningful conclusions. In this paper, we expand these conclu2
sions to the infinite vector op timation p roblems, and the op timality conditions of infinite vector op timation p roblems
are obtained. |
Key words: Key words: infinite dimensional spaces constraint qualification necessary op timality condition sufficient
op timality condition Pareto2op timal solutions η - p seudoconvexity |