SOME CHARACTERIZATIONS FOR VECTOR VARIATIONAL-LIKE INEQUALITIES

被引：0

作者：

Huang, Nan-Jing ^{[1
]}

Li, Jun ^{[2
]}

Liu, Zhi-Bin ^{[3
]}

机构：

[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

[2] China W Normal Univ, Sch Math & Informat, Nanchong 637002, Sichuan, Peoples R China

[3] SW Petr Univ, Dept Appl Math, Chengdu 610500, Sichuan, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 2A期

基金：

中国国家自然科学基金;

关键词：

Vector variational-like inequality; eta-Pseudomonotone mapping; eta-PPM mappings; Characterization of solution sets; Scalarization approach; EQUILIBRIUM PROBLEMS; PSEUDOLINEAR FUNCTIONS; COMPLEMENTARITY-PROBLEMS; BANACH-SPACES; EXISTENCE; MONOTONE; EXTENSION; PROGRAMS; MAPPINGS; THEOREMS;

D O I：

10.11650/twjm/1500405345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a class of eta-PPM mappings F where F and -F are both eta-pseudomonotone are introduced, which are proper generalizations of the PPM mappings considered by Bianchi and Schaible. The solution sets of two kinds of vector variational-like inequality problems involving eta-PPM mappings are characterized in Banach spaces. Furthermore, the solution sets of two classes of vector variational-like inequalities involving set-valued mappings are also characterized via the scalarization approach due to Konnov.

引用

页码：403 / 418

页数：16

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