Pseudomonotonicity of Nonlinear Transformations on Euclidean Jordan Algebras

被引：0

作者：

Li, Yuan-Min ^{[1
]}

机构：

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

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2024年 / 40卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Euclidean Jordan algebra; nonlinear transformation; complementarity problem; pseudomonotone; LINEAR COMPLEMENTARITY-PROBLEMS; PROPERTY; SOLVABILITY;

D O I：

10.1007/s10255-024-1108-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we have introduced the concepts of pseudomonotonicity properties for nonlinear transformations defined on Euclidean Jordan algebras. The implications between this property and other P-properties have been studied. More importantly, we have solved the solvability problem of the nonlinear pseudomonotone complementarity problems over symmetric cones.

引用

页码：192 / 204

页数：13

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