SOME REMARKS ON PREINVEX FUNCTIONS AND OTHER GENERALIZED CONVEX FUNCTIONS

被引：0

作者：

Giorgi, Giorgio ^{[1
]}

机构：

[1] Univ Pavia, Fac Econ, I-27100 Pavia, Italy

来源：

MATHEMATICAL REPORTS | 2008年 / 10卷 / 04期

关键词：

Multiobjective programming; optimization;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We precise some known and new properties of preinvex functions, in both the non differentiable case and in the differentiable case. In particular, we study the relationships of this class of functions with other classes of generalized convex functions.

引用

页码：317 / 325

页数：9

共 20 条

[1] [Anonymous], 1981, GEN CONVEXITY OPTIMI
[2] B-VEX FUNCTIONS
BECTOR, CR
SINGH, C
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 71 (02) : 237 - 253
[3] WHAT IS INVEXITY
BENISRAEL, A
MOND, B
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1986, 28 : 1 - 9
[4] A NOTE ON THE RELATIONSHIPS BETWEEN CONVEXITY AND INVEXITY
GIORGI, G
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1990, 32 : 97 - 99
[5] Giorgi G., 1992, GEN CONCAVITY EC APP, P53
[6] Hanson M. A., 1987, Journal of Information & Optimization Sciences, V8, P201
[7] ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS
HANSON, MA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) : 545 - 550
[8] OPTIMALITY CRITERIA IN NONLINEAR-PROGRAMMING INVOLVING NONCONVEX FUNCTIONS
KAUL, RN
KAUR, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 105 (01) : 104 - 112
[9] INVEXITY AT A POINT - GENERALIZATIONS AND CLASSIFICATION
MITITELU, S
STANCUMINASIAN, IM
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1993, 48 (01) : 117 - 126
[10] MITITELU S, 1994, MATH REP, V46, P529

← 1 2 →