Pseudomonotonicity of Nonlinear Transformations on Euclidean Jordan Algebras

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...

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 40; no. 1; pp. 192 - 204
Main Author Li, Yuan-Min
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2024
Springer Nature B.V
EditionEnglish 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
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Summary: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.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-024-1108-5