Lipschitzian stability of fully parameterized generalized equations

DOI10.1080/00036811.2017.1336228zbMath1396.49012OpenAlexW2623722494WikidataQ58257319 ScholiaQ58257319MaRDI QIDQ3177652

Wei Ouyang, Binbin Zhang, Qing Hai He

Publication date: 1 August 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1336228

zbMATH Keywords

generalized equationsolution map(partial) Lipschitz-like property(partial) metric regularity

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Set-valued operators (47H04) Regularity of solutions in optimal control (49N60) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (3)

Newton's method for fully parameterized generalized equations ⋮ Regularity of implicit solution mapping to parametric generalized equation ⋮ Regularity of Newton's iteration for general parametric variational system

Cites Work

• Metric regularity of epigraphical multivalued mappings and applications to vector optimization
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• Lyusternik-Graves theorem and fixed points
• Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Implicit Functions and Solution Mappings
• Strongly Regular Generalized Equations
• Generalized equations and their solutions, Part I: Basic theory
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• Lipschitzian stability of constraint systems and generalized equations
• An Inverse Mapping Theorem for Set-Valued Maps
• Metric Regularity and Constraint Qualifications for Convex Inequalities on Banach Spaces

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