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generalized convexity中文什么意思

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  1. Under generalized convexity assumptions , necessary and sufficient conditions of optimality are obtained for nonsmooth nonlinear optimization problems . moreover , dual model is established and duality results are obtained
    在函数广义凸意义下,获得了非光滑非线性优化问题的最优性必要条件和充分条件,建立了问题的对偶模型并得到对偶结果
  2. Abstract : under generalized convexity assumptions , necessary and sufficient conditions of optimality are obtained for nonsmooth nonlinear optimization problems . moreover , dual model is established and duality results are obtained
    文摘:在函数广义凸意义下,获得了非光滑非线性优化问题的最优性必要条件和充分条件,建立了问题的对偶模型并得到对偶结果
  3. Under the assuption of generalized subconvexlikeness , the optimality conditions of set - valued optimization problems in linear space are established by using obtained gordan - farkas type alternative theorem . under the assuption of near subconvexlikeness and - generalized convexity , the optimality conditions of set - valued optimization problems in linear topological space are established by using alternative theorem of near subconvexlikeness and obtained farkas - minkowski type alternative theorem . the concepts of super efficient solution and - super efficient solution are defined in normed space , and the optimality conditions of set - valued optimization problems are established under the assuption of semi - preinvexity
    在广义次似凸性假设下,利用已获得的gordan - farkas型的择一性定理,建立了线性空间中集值优化问题的最优性条件。在近次似凸和-广义锥凸性假设下,利用近次似凸集值映射的择一性定理和已获得的farkas - minkowski型的择一性定理,建立了线性拓扑空间中集值优化问题的最优性条件。

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