On a generalization of paramonotone maps and its application to solving the Stampacchia variational inequality

DOI10.1080/02331930600816114zbMath1118.47041OpenAlexW2094387963MaRDI QIDQ3426235

Siegfried Schaible, Nicolas Hadjisavvas

Publication date: 8 March 2007

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930600816114

zbMATH Keywords

pseudomonotone mapsvariational inequality problemsparamonotone maps

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Set-valued operators (47H04)

Related Items (7)

The pseudomonotone polar for multivalued operators ⋮ A proximal method with logarithmic barrier for nonlinear complementarity problems ⋮ Pseudomonotone operators: a survey of the theory and its applications ⋮ Attouch-Théra duality revisited: Paramonotonicity and operator splitting ⋮ Pseudomonotone operators and the Bregman proximal point algorithm ⋮ \(H((\cdot, \cdot),(\cdot, \cdot))\)-mixed cocoercive operators with an application for solving variational inclusions in Hilbert spaces ⋮ Pseudomonotone\(_*\) maps and the cutting plane property

Cites Work

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• On the subdifferentials of quasiconvex and pseudoconvex functions and cyclic monotonicity
• An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
• An iterative solution of a variational inequality for certain monotone operators in Hilbert space
• A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space
• Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces
• On generalized cyclically monotone operators and proper quasimonotonictty
• Pseudomonotone variational inequalities: Convergence of proximal methods

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