CHARACTERIZATIONS OF GENERALIZED MONOTONE MAPS

被引：68

作者：

KARAMARDIAN, S ^{[1
]}

SCHAIBLE, S ^{[1
]}

CROUZEIX, JP ^{[1
]}

机构：

[1] UNIV CLERMONT FERRAND,CLERMONT FERRAND,FRANCE

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1993年 / 76卷 / 03期

关键词：

GENERALIZED MONOTONE MAPS; GENERALIZED CONVEX FUNCTIONS; ONE-DIMENSIONAL MAPS; 1ST-ORDER CHARACTERIZATIONS; AFFINE MAPS;

D O I：

10.1007/BF00939374

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：

This paper is a sequel to Ref. 1 in which several kinds of generalized monotonicity were introduced for maps. They were related to generalized convexity properties of functions in the case of gradient maps. In the present paper, we derive first-order characterizations of generalized monotone maps based on a geometrical analysis of generalized monotonicity. These conditions are both necessary and sufficient for generalized monotonicity. Specialized results are obtained for the affine case.

引用

页码：399 / 413

页数：15

共 14 条

[1] QUASI-CONCAVE PROGRAMMING
ARROW, KJ
ENTHOVEN, AC
[J]. ECONOMETRICA, 1961, 29 (04) : 779 - 800
[2] 2ND ORDER CHARACTERIZATIONS OF PSEUDOCONVEX FUNCTIONS
AVRIEL, M
SCHAIBLE, S
[J]. MATHEMATICAL PROGRAMMING, 1978, 14 (02) : 170 - 185
[3] Avriel M., 1972, MATH PROGRAM, V2, P309
[4] AVRIEL M, 1988, GENERALIZED CONCAVIT
[5] CASTAGNOLI E, 1991, RIV MATEMATICA SCI E, V14, P33
[6] CASTAGNOLI E, 1990, ORDER PRESERVING FUN, P151
[7] CASTAGNOLI E, 1989, INT WORKSHOP GENERAL
[8] CRITERIA FOR QUASI-CONVEXITY AND PSEUDO-CONVEXITY - RELATIONSHIPS AND COMPARISONS
CROUZEIX, JP
FERLAND, JA
[J]. MATHEMATICAL PROGRAMMING, 1982, 23 (02) : 193 - 205
[9] COMPLEMENTARITY PROBLEMS OVER CONES WITH MONOTONE AND PSEUDOMONOTONE MAPS
KARAMARDIAN, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1976, 18 (04) : 445 - 454
[10] 7 KINDS OF MONOTONE MAPS
KARAMARDIAN, S
SCHAIBLE, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 66 (01) : 37 - 46

← 1 2 →