Duality for a non-differentiable programming problem

被引:15
作者
Zhang, J [1 ]
Mond, B [1 ]
机构
[1] LA TROBE UNIV,SCH MATH,BUNDOORA,VIC 3083,AUSTRALIA
关键词
D O I
10.1017/S0004972700030513
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A generalised dual to a non-differentiable programming problem is given and duality established under general convexity and invexity conditions. A second order dual is also given and duality theorems proved under generalised second order invexity conditions.
引用
收藏
页码:29 / 44
页数:16
相关论文
共 18 条
[1]  
[Anonymous], 1981, GEN CONVEXITY OPTIMI
[2]  
Bector C. R., 1986, C NUMER, V22, P37
[3]  
BECTOR CR, UNPUB SECOND ORDER D
[4]   WHAT IS INVEXITY [J].
BENISRAEL, A ;
MOND, B .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1986, 28 :1-9
[5]  
Chandra S., 1985, OPTIMIZATION, V16, P653
[6]  
EISENBERG E, 1962, B AM MATH SOC, V68, P192, DOI 10.1090/S0002-9904-1962-10741-1
[7]   ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS [J].
HANSON, MA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) :545-550
[8]   2ND-ORDER AND HIGHER-ORDER DUALITY IN NONLINEAR-PROGRAMMING [J].
MANGASARIAN, OL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 51 (03) :607-620
[9]   FRITZ JOHN NECESSARY OPTIMALITY CONDITIONS IN PRESENCE OF EQUALITY AND INEQUALITY CONSTRAINTS [J].
MANGASARIAN, OL ;
FROMOVITZ, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 17 (01) :37-+
[10]  
Mond B., 1974, Opsearch, V11, P90