Localization of generalized normal maps and stability of variational inequalities in reflexive Banach spaces

DOI10.1007/s11228-007-0058-4zbMath1210.47089OpenAlexW1989959608MaRDI QIDQ1005116

Jen-Chih Yao, Bui Trong Kien

Publication date: 16 March 2009

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-007-0058-4

zbMATH Keywords

lower semicontinuitydegree theoryparametric variational inequalitygeneralised natural mappinggeneralized normal mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (5)

Stability of variational inequalities and prox-regularity in Hilbert space ⋮ Degree theory for generalized mixed quasi-variational inequalities and its applications ⋮ Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces ⋮ Lower semicontinuity for parametric weak vector variational inequalities in reflexive Banach spaces ⋮ Lower semicontinuity of the solution map to a parametric generalized variational inequality in reflexive Banach spaces

Cites Work

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• Solution sensitivity of variational inequalities
• Solution sensitivity of a class of variational inequalities
• Characterizing the single-valuedness of multifunctions
• Coderivatives in parametric optimization
• Solution sensitivity of a generalized variational inequality.
• Localized normal maps and the stability of variational conditions
• Hölder continuity of solutions to a parametric variational inequality
• Implicit function theorems for generalized equations
• Leray--Schauder type alternatives, complementarity problems and variational inequalities
• Sensitivity Analysis in Variational Inequalities
• An Implicit-Function Theorem for a Class of Nonsmooth Functions
• Normal Maps Induced by Linear Transformations
• Implicit Functions, Lipschitz Maps, and Stability in Optimization
• Sensitivity Analysis of Solutions to Generalized Equations
• On a Generalization of a Normal Map and Equation
• Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
• Sensitivity of Solutions to Variational Inequalities on Banach Spaces
• Characterizations of metric projections in Banach spaces and applications

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