KUHN-TUCKER CONDITION AND WOLFE DUALITY OF PREINVEX SET-VALUED OPTIMIZATION  被引量:2

KUHN-TUCKER CONDITION AND WOLFE DUALITY OF PREINVEX SET-VALUED OPTIMIZATION

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作  者:盛宝怀 刘三阳 

机构地区:[1]Department of Mathematics,Shaoxing College of Arts and Sciences,Shaoxing 312000,Zhejiang Province,P. R. China [2]Department of Applied Mathematics,Xidian University,Xi'an 710071,P. R. China

出  处:《Applied Mathematics and Mechanics(English Edition)》2006年第12期1655-1664,共10页应用数学和力学(英文版)

基  金:Project supported by the National Natural Science Foundation of China (No. 10371024) the Natural Science Foundation of Zhejiang Province (No.Y604003)

摘  要:The optimality Kuhn-Tucker condition and the wolfe duality for the preinvex set-valued optimization are investigated. Firstly, the concepts of alpha-order G-invex set and the alpha-order S-preinvex set-valued function were introduced, from which the properties of the corresponding contingent cone and the alpha-order contingent derivative were studied. Finally, the optimality Kuhn-Tucker condition and the Wolfe duality theorem for the alpha-order S-preinvex set-valued optimization were presented with the help of the alpha-order contingent derivative.The optimality Kuhn-Tucker condition and the wolfe duality for the preinvex set-valued optimization are investigated. Firstly, the concepts of alpha-order G-invex set and the alpha-order S-preinvex set-valued function were introduced, from which the properties of the corresponding contingent cone and the alpha-order contingent derivative were studied. Finally, the optimality Kuhn-Tucker condition and the Wolfe duality theorem for the alpha-order S-preinvex set-valued optimization were presented with the help of the alpha-order contingent derivative.

关 键 词:preinvex set-valued function contingent epiderivatives optimality conditions DUALITY 

分 类 号:O221.6[理学—运筹学与控制论]

 

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