Convexity and openness with linear rate
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Publication:1281553
DOI10.1006/jmaa.1998.6099zbMath0926.46014OpenAlexW2050323363MaRDI QIDQ1281553
Publication date: 22 November 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1998.6099
convexityconvex functionnormalFréchet-differentiablecone convex mappingLyusternik-type theoremopen with linear rate
Related Items (2)
Openness, Hölder Metric Regularity, and Hölder Continuity Properties of Semialgebraic Set-Valued Maps ⋮ A New Type of Directional Regularity for Mappings and Applications to Optimization
Cites Work
- Stability and regular points of inequality systems
- Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
- Regularity and stability for the mathematical programming problem in Banach spaces
- Implicit function theorems for generalized equations
- Some mapping theorems
- Open mappings theorems and linearization stability
- Necessary Conditions in Nonsmooth Optimization
- Continuity characterisations of differentiability of locally Lipschitz functions
- On the local surjection property
- Regularity and Stability for Convex Multivalued Functions
- On regularity conditions in mathematical programming
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- Metric regularity, openness and Lipschitzian behavior of multifunctions
- Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
- An Inverse Mapping Theorem for Set-Valued Maps
- Metric regularity for strongly compactly Lipschitzian mappings
- Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces
- Approximations and Metric Regularity in Mathematical Programming in Banach Space
- Set-valued analysis
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