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在更弱的连续假设下研究集合A_(x,y)={λ∈[0,1]|f(λE(x)+(1-λ)E(y))≤λf(E(x))+(1-λ)f(E(y))}和集合A′_(x,y)={λ∈[0,1]|f(λE(x)+(1-λ)E(y))≤max{f(E(x)),f(E(y))}}的稠密性、闭性、(弱)近似凸性,得到E-凸函数和E-拟凸函数的等价条件. 相似文献
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关于E-凸函数及E-凸规划几个错误结论的修正 总被引:2,自引:0,他引:2
本文研究Youness在1999年建立的有关E凸函数和E规划的结论.利用E凸函数和E凸规划的基本性质和优化分析技术,获得了有关E凸函数E凸规划的几个错误结论的修正.. 相似文献
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关于E-凸函数和E-凸规划的错误结论 总被引:6,自引:0,他引:6
最近Youness在文[1]建立了一类E-凸函数和一类E-凸规划,并分析和给出了他们的主要性质。本文通过6个反例说明文[1]关于E-凸函数和E-凸规划的大部分结论是错误的。 相似文献
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In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal E-convex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by Preda[J Math Anal Appl, 288(2003) 365-382]. 相似文献
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本文主要研究E-凸函数的若干性质,引入E-凸多目标规划的定义,建立E-凸多目标规划的Mond-Weir型对偶问题,并在E.凸条件假设下,证明E-凸多目标规划的弱对偶性、直接对偶性及逆对偶性. 相似文献
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E-Convex Sets, E-Convex Functions, and E-Convex Programming 总被引:34,自引:0,他引:34
E. A. Youness 《Journal of Optimization Theory and Applications》1999,102(2):439-450
A class of sets and a class of functions called E-convex sets and E-convex functions are introduced by relaxing the definitions of convex sets and convex functions. This kind of generalized convexity is based on the effect of an operator E on the sets and domain of definition of the functions. The optimality results for E-convex programming problems are established. 相似文献
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In this article we have discussed the E-convex functions and studied the theorems of Jensen, Bernstein–Doetsch, Blumberg–Sierpinski and Ostrowski on E-midconvex functions. 相似文献