7 KINDS OF MONOTONE MAPS

被引：254

作者：

KARAMARDIAN, S

SCHAIBLE, S

机构：

[1] Graduate School of Management, University of California, Riverside, California

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1990年 / 66卷 / 01期

关键词：

convex functions; first-order conditions; generalized convex functions; generalized monotone maps; Monotone maps;

D O I：

10.1007/BF00940531

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：

Known as well as new types of monotone and generalized monotone maps are considered. For gradient maps, these generalized monotonicity properties can be related to generalized convexity properties of the underlying function. In this way, pure first-order characterizations of various types of generalized convex functions are obtained. © 1990 Plenum Publishing Corporation.

引用

页码：37 / 46

页数：10

共 6 条

[1] Avriel M, 1981, GEN CONCAVITY OPTIMI, P21
[2] AVRIEL M, 1988, GENERALIZED CONCAVIT
[3] Castagnoli E., 1989, Journal of Information & Optimization Sciences, V10, P53
[4] COMPLEMENTARITY PROBLEMS OVER CONES WITH MONOTONE AND PSEUDOMONOTONE MAPS
KARAMARDIAN, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1976, 18 (04) : 445 - 454
[5] Karamardian S., 1969, Journal of Optimization Theory and Applications, V4, P167, DOI 10.1007/BF00930577
[6] ORTEGA JM, 1970, INTERACTIVE SOLUTION

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