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Another Approach to Multiobjective Programming Problems with V-invex Functions 被引量：1

Another Approach to Multiobjective Programming Problems with V-invex Functions
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摘要 In this paper, optimality conditions for multiobjective programming problems having V-invex objective and constraint functions are considered. An equivalent multiobjective programming problem is constructed by a modification of the objective function.Furthermore, a (α, η)-Lagrange function is introduced for a constructed multiobjective programming problem, and a new type of saddle point is introduced. Some results for the new type of saddle point are given. In this paper, optimality conditions for multiobjective programming problems having V-invex objective and constraint functions are considered. An equivalent multiobjective programming problem is constructed by a modification of the objective function. Furthermore, a (α,η)-Lagrange function is introduced for a constructed multiobjective programming problem, and a new type of saddle point is introduced. Some results for the new type of saddle point are given.
作者 LIUSan-ming FENGEn-min LIXiao-shen
机构地区 DepartmentofAppliedMathematics DepartmentofAppliedMathematics DepartmentofAppliedMathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第1期101-110,共10页 数学季刊（英文版）
基金 Supported by the National Natural Science Foundation of China(19871009)
关键词 有效解 V-约束函数 多目标规划 向量赋值 efficient solution V-invex function vector valued saddle point multiobjective programming vector valued (α,η)-Lagrange function
分类号 O221.6 [理学—运筹学与控制论]
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参考文献21

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同被引文献8

  • 1HANSON M A. On Sufficiency of the Kuhn-Tuck Conditions [J]. Journal of Mathematical Analysis and Applications, 1981, 80: 545--550.
  • 2CRAVEN B D. Invex Functions and Constrained Local Minima[J]. Bulletin of the Australian Mathematical Society, 1981, 24: 357--366.
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  • 5BOOTHBY. An Introduction to Differential Manifolds and Riemannian Geometry. [M]. Second Edition. Orlando: Aca- demic Press, 1988:25 -- 150.
  • 6王庆东,侯海军,肖刚.Minty向量似变分不等式与向量优化问题[J].西南大学学报（自然科学版）,2008,30(6):37-40. 被引量：8
  • 7肖刚,肖红,刘三阳.黎曼流形上弱向量似变分不等式解的存在性[J].西南大学学报（自然科学版）,2009,31(4):44-47. 被引量：4
  • 8孙清滢,叶留青.可微广义凸规划的最优充要条件(英文)[J].Chinese Quarterly Journal of Mathematics,2000,15(4):33-37. 被引量：1

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Chinese Quarterly Journal of Mathematics
2005年 第1期

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