On generalised convex multi-objective nonsmooth programming

被引:43
作者
Mishra, SK
Mukherjee, RN
机构
来源
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1996年 / 38卷
关键词
D O I
10.1017/S0334270000000515
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We extend the concept of V-pseudo-invexity and V-quasi-invexity of multi-objective programming to the case of nonsmooth multi-objective programming problems. The generalised subgradient Kuhn-Tucker conditions are shown to be sufficient for a weak minimum of a multi-objective programming problem under certain assumptions. Duality results are also obtained.
引用
收藏
页码:140 / 148
页数:9
相关论文
共 4 条
[1]  
Clarke F. H., 1983, OPTIMIZATION NONSMOO
[2]  
EGUDO RR, 1993, M888 FSU
[3]   ON GENERALIZED CONVEX MATHEMATICAL-PROGRAMMING [J].
JEYAKUMAR, V ;
MOND, B .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1992, 34 :43-53
[4]   ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS IN NONDIFFERENTIABLE-PROGRAMMING [J].
ZHAO, F .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 46 (03) :385-389