GENERALIZED MONOTONICITY AND GENERALIZED CONVEXITY

被引：44

作者：

KOMLOSI, S

机构：

[1] Faculty of Economics, Janus Pannonius University, Pécs

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1995年 / 84卷 / 02期

关键词：

GENERALIZED MONOTONICITY; GENERALIZED DERIVATIVES; GENERALIZED CONVEXITY;

D O I：

10.1007/BF02192119

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：

Generalized monotonocity of bifunctions or multifunctions is a rather new concept in optimization and nonsmooth analysis. It is shown in the present paper how quasiconvexity, pseudoconvexity, and strict pseudoconvexity of lower semicontinuous functions can be characterized via the quasimonotonicity, pseudomonotonicity, and strict pseudomonotonicity of different types of generalized derivatives, including the Dini, Dini-Hadamard, Clarke, and Rockafellar derivatives as well.

引用

页码：361 / 376

页数：16

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