在pseudo-invexity条件下的一个分式规划问题的对偶性

Duality for a Fractional Programming Problem under the Pseudo-invexity Condition

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摘要给出了一个不可微多目标分式变分问题,并利用有效性和真有效性概念,证明了在pseudo-invexity条件下与分式规划问题相关的弱对偶定理、强对偶定理及逆对偶定理. We formulate a pair of nondifferentiable multiobjective fractional variational problems, and weak, strong and converse duality theorems for a fractuional programming problem are established under pseudo-invexity assumptions by using the concept of efficiency and proper efficiency, type dual problem.

作者姜今锡金爱莲金光植

机构地区延边大学理学院数学系延边大学医学院基础部

出处《数学的实践与认识》 CSCD 北大核心 2007年第12期166-172,共7页 Mathematics in Practice and Theory

关键词对偶 pseudo-invexity函数不可微多目标变分问题有效性 duality pseudo-invexity function nondifferentiable multiobjective variational problem efficiency

分类号 O221.6 [理学—运筹学与控制论]

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1Geoffrion A M. Proper efficiency and the theory of vector maximization[J].J Math Anal Appl,1968,22:618--630.
2Weir T. Proper efficiency efficiency and duality for vector valued optimization problems[J]. J Austral Math Soc Ser, 1987, A43 : 21--35.
3Wolfe P. A duality theorem for nonlinear programming[J]. Quart Appl Math, 1961,19 : 239--244.
4Bector C R, Husain I. Duality for multiobjective variational problems[J].J Math Anal Appl, 1992,166: 214-- 229.
5Bhatia D, Jain P. Nondifferentiable multiobjective fractional programming with hanson-Mond classes of funetions[J]. J Inform Opti Sci,1991,12(1) :35--47.
6Kim D S, Lee G M, Kuk H. Duality for multiobjective fractional variational problems with generalized invexity [J]. Nihonkai Math J, 1998,9 : 17--25.
7Mond B, Smart I. Duality with invexity for a class of nondifferentiable static and continuous programming problems[J]. J Math Anal Appl,1989,141:373--388.
8Jin Jiang. A Wolfe-type dual problem under the condition of pseudo-invexity[J]. Jounal of Yanbian University, 2005,31(4) :241--246.
9Chandra S, Craven B D, Husain I. A class of nondifferentiable continuous programming problems[J]. J Math Anal Appl,1985,107:122-131.
10Mond B. Hanson M A. Duality for variational problem[J]. J Math Anal Appl.1967.18:355-364.

1金爱莲,姜今锡,尹仑.在pseudo-invexity条件下的一个Wolfe-型对偶问题(英文)[J].延边大学学报（自然科学版）,2005,31(4):241-246.
2ZHAO Yingxue,MENG Xiaoge,QIAO Han,WANG Shouyang,COLADAS URIA Luis.CHARACTERIZATIONS OF SEMI-PREQUASI-INVEXITY[J].Journal of Systems Science & Complexity,2014,27(5):1008-1026. 被引量：3
3施保昌,于寅,陈珽.一类不可微多目标决策问题的可行方向法[J].华中理工大学学报,1995,23(A01):75-81. 被引量：5
4彭婕,赵克全.向量优化问题ε-真有效解的一个性质[J].重庆工商大学学报（自然科学版）,2013,30(12):1-3. 被引量：1
5刘艳芳.S-d-invexity条件下的多目标规划和凸规划问题[J].昆明大学学报,2006,17(4):16-18.
6廖伟,赵克全.向量优化中真有效性的一个注记[J].西南大学学报（自然科学版）,2013,35(11):92-95. 被引量：3
7傅万涛,程永红.关于真有效性[J].南昌水专学报,1998,17(2):1-8.
8曹志刚,陈世国.多目标分式变分问题的混合对偶性[J].数学的实践与认识,2006,36(10):141-146. 被引量：1
9陈世国,甘应爱.非凸不可微多目标分式规划的对偶理论[J].华中理工大学学报,1995,23(A01):110-114. 被引量：3
10YANG Xinmin (Department of Mathematics, Chongqing Normal University, Chongqing 630047, China).SYMMETRIC DUALITY FOR A CLASS OF MULTIOBJECTIVE FRACTIONAL PROGRAMMING[J].Systems Science and Mathematical Sciences,1997,10(1):66-74.

数学的实践与认识

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在pseudo-invexity条件下的一个分式规划问题的对偶性

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