Solvability based on E-property for the nonlinear symmetric cone complementarity problem

被引：2

作者：

Li, Yuan-Min ^{[1
]}

Wei, Deyun ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 236卷

基金：

中国国家自然科学基金;

关键词：

Euclidean Jordan algebra; Nonlinear transformation; Symmetric cone; E-0-property; EUCLIDEAN-JORDAN ALGEBRAS; PRINCIPAL MINOR PROPERTY; LINEAR TRANSFORMATIONS; P-PROPERTIES;

D O I：

10.1016/j.amc.2014.03.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce some concepts of E-properties for nonlinear transformations defined on Euclidean Jordan algebras, such as E-property, quad E-property, uniform Jordan E-property, E-0-property. And then we study the implications among these E-properties. In particular, the quad E-property is equivalent to the E-property. The K-copositive property implies the E-0-property. The uniform Jordan E-property is proved to have the E-0 and R-0-properties. Based on the E-properties, we get some sufficient conditions to guarantee the solution existence for the nonlinear symmetric cone complementarity problem. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：437 / 449

页数：13

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