ON STRONG PSEUDOMONOTONICITY AND (SEMI)STRICT QUASIMONOTONICITY

被引：33

作者：

HADJISAVVAS, N ^{[1
]}

SCHAIBLE, S ^{[1
]}

机构：

[1] UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1993年 / 79卷 / 01期

关键词：

STRONGLY PSEUDOCONVEX FUNCTIONS; (SEMI)STRICTLY QUASI-CONVEX; STRONGLY PSEUDOMONOTONE MAPS; (SEMI)STRICTLY QUASI-MONOTONE MAPS;

D O I：

10.1007/BF00941891

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：

New concepts of strong pseudomonotonicity, strict quasimonotonicity, and semistrict quasimonotonicity of a map are introduced and their properties are studied. In the case of a differentiable gradient map, we show that strong pseudomonotonicity of the gradient is equivalent to strong pseudoconvexity of the underlying function. This does not hold for a different concept of strong pseudomonotonicity in Ref. 1. Analogous results are shown for strict quasimonotonicity and semistrict quasimonotonicity.

引用

页码：139 / 155

页数：17

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