THE OPTIMALITY CONDITIONS OF NONCONVEX SET-VALUED VECTOR OPTIMIZATION

数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (1): 47-55.

THE OPTIMALITY CONDITIONS OF NONCONVEX SET-VALUED VECTOR OPTIMIZATION

盛保怀, 刘三阳

Department of Applied Mathematics, Xidian University, Xian 710071, China

出版日期:2002-01-14 发布日期:2002-01-14
基金资助:
This work is supported by the National Natural Science Foun-dation(69972036) and the Natural Science Foundation of Shanxi province(99SL02)

THE OPTIMALITY CONDITIONS OF NONCONVEX SET-VALUED VECTOR OPTIMIZATION

SHENG Bao-Huai, LIU San-Yang

Department of Applied Mathematics, Xidian University, Xian 710071, China

Online:2002-01-14 Published:2002-01-14
Supported by:
This work is supported by the National Natural Science Foun-dation(69972036) and the Natural Science Foundation of Shanxi province(99SL02)

摘要/Abstract

摘要：

The concepts of -order Clarke’s derivative, -order Adjacent derivative and -order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz John optimality condition of set-valued vector optimization is established. Finally, under the assumption of pseudoconvexity, the optimality condition is proved to be sufficient.

关键词: Set-valued derivative, optimality condition, pseudoconvex set-valued map-ping

Abstract:

Key words: Set-valued derivative, optimality condition, pseudoconvex set-valued map-ping

中图分类号:

90C30

盛保怀, 刘三阳. THE OPTIMALITY CONDITIONS OF NONCONVEX SET-VALUED VECTOR OPTIMIZATION[J]. 数学物理学报(英文版), 2002, 22(1): 47-55.

SHENG Bao-Huai, LIU San-Yang. THE OPTIMALITY CONDITIONS OF NONCONVEX SET-VALUED VECTOR OPTIMIZATION[J]. Acta mathematica scientia,Series B, 2002, 22(1): 47-55.

参考文献

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THE OPTIMALITY CONDITIONS OF NONCONVEX SET-VALUED VECTOR OPTIMIZATION

THE OPTIMALITY CONDITIONS OF NONCONVEX SET-VALUED VECTOR OPTIMIZATION

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