Pseudomonotonicity of Nonlinear Transformations on Euclidean Jordan Algebras

• Published in: Acta Mathematicae Applicatae Sinica Vol. 40; no. 1; pp. 192 - 204
• Main Author: Li, Yuan-Min
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 2024; Springer Nature B.V
• Edition: English series
• Subjects: Applications of Mathematics; Math Applications in Computer Science; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Theoretical; nonlinear transformation; 65K05; pseudomonotone; Euclidean Jordan algebra; 90C33; 17C90; complementarity problem

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 nonline...