| Optimality Conditions for Nonsmooth Extremum Problems in Topological Vector Spaces |
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| 引用本文： | CHEN Xiu su,XIAO Zhi xiang. Optimality Conditions for Nonsmooth Extremum Problems in Topological Vector Spaces[J]. 保鲜与加工, 2002, 0(4): 47 |
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| 作者姓名： | CHEN Xiu su XIAO Zhi xiang |
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| 摘 要： | Some new concepts of coneD_s convexity,coneD-s quasiconvexity,cone D-s pseudoconvexity,s right derivative of vector value mapping are proposed;and their related properties are discussed;the optimality necessary conditions and sufficient conditions for constrained extremum problem(VP)involving in cone D-s convex mapping are extablished;the relation between local optimal solution and global optimal solution;as well as the relation between weakly efficient solution and efficient solution for (VP) are derived;the corresponding results generalize the related results of classic convex programming.
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| 关 键 词： | cone D-s convexity s right derivative (weakly)efficient solution optimality conditions |
Optimality Conditions for Nonsmooth Extremum Problems in Topological Vector Spaces |
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| CHEN Xiu su,XIAO Zhi xiang. Optimality Conditions for Nonsmooth Extremum Problems in Topological Vector Spaces[J]. Storage & Process, 2002, 0(4): 47 |
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| Authors: | CHEN Xiu su XIAO Zhi xiang |
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| Abstract: | Some new concepts of coneD_s convexity,coneD-s quasiconvexity,cone D-s pseudoconvexity,s right derivative of vector value mapping are proposed;and their related properties are discussed;the optimality necessary conditions and sufficient conditions for constrained extremum problem(VP)involving in cone D-s convex mapping are extablished;the relation between local optimal solution and global optimal solution;as well as the relation between weakly efficient solution and efficient solution for (VP) are derived;the corresponding results generalize the related results of classic convex programming. |
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| Keywords: | cone D-s convexity s right derivative (weakly)efficient solution optimality conditions |
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