INVEX-CONVEXLIKE FUNCTIONS AND DUALITY

被引:12
作者
KHANH, PQ
机构
[1] Department of Mathematics and Informatics, Hochiminh City University, Hochiminh City
关键词
INVEX-CONVEXLIKE FUNCTIONS; KUHN-TUCKER SUFFICIENT CONDITION; WOLFE DUALITY;
D O I
10.1007/BF02192045
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We define a class of invex-convexlike functions, which contains all convex, pseudoconvex, invex, and convexlike functions, and prove that the Kuhn-Tucker sufficient optimality condition and the Wolfe duality hold for problems involving such functions. Applications in control theory are given.
引用
收藏
页码:141 / 165
页数:25
相关论文
共 18 条
[1]  
[Anonymous], 1986, MATH VECTOR OPTIMIZA
[2]  
Craven B. D., 1981, GEN CONVEXITY OPTIMI, P473
[3]   A MODIFIED WOLFE DUAL FOR WEAK VECTOR MINIMIZATION [J].
CRAVEN, BD .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (9-10) :899-907
[4]   INVEX FUNCTIONS AND DUALITY [J].
CRAVEN, BD ;
GLOVER, BM .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1985, 39 (AUG) :1-20
[6]   NECESSARY AND SUFFICIENT CONDITIONS IN CONSTRAINED OPTIMIZATION [J].
HANSON, MA ;
MOND, B .
MATHEMATICAL PROGRAMMING, 1987, 37 (01) :51-58
[7]   ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS [J].
HANSON, MA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) :545-550
[8]   ZERO DUALITY GAPS IN INFINITE-DIMENSIONAL PROGRAMMING [J].
JEYAKUMAR, V ;
WOLKOWICZ, H .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 67 (01) :87-108
[9]  
Jeyakumar V., 1985, OPTIMIZATION, V16, P643
[10]   ON NECESSARY AND SUFFICIENT CONDITIONS IN VECTOR OPTIMIZATION [J].
KHANH, PQ ;
NUONG, TH .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1989, 63 (03) :391-413