Some P-properties for nonlinear transformations on Euclidean Jordan algebras

• 成果类型: Article
• 署名作者: Tao, JY; Gowda, MS
• 署名单位: Loyola University Maryland; University System of Maryland; University of Maryland Baltimore County
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.1050.0157
• 发表日期: 2005
• 页码: 985-1004
• 关键词: Complementarity; EXISTENCE

摘要

In this article, we introduce the concepts of P and P-0 properties for a nonlinear transformation defined on a Euclidean Jordan algebra and study existence of solution in the associated complementarity problems. In particular, we show, in this general setting, that if a transformation has the P-0 and R-0 properties, then all associated complementarity problems have solutions. We also describe a necessary condition for a transformation to have Lie (global) uniqueness of solution property.