Mixed Coderivatives of Set–Valued Mappings in Variational Analysis
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Publication:4236771
DOI10.1515/JAA.1998.269zbMath0923.49013MaRDI QIDQ4236771
Yongheng Shao, Boris S. Mordukhovich
Publication date: 12 October 1999
Published in: Journal of Applied Analysis (Search for Journal in Brave)
multifunctionBanach spacevariational analysisgeneralized differentiationLipschitzian stabilityAsplund space
Nonsmooth analysis (49J52) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Set-valued and function-space-valued mappings on manifolds (58C06)
Related Items (7)
An open mapping theorem using unbounded generalized Jacobians ⋮ Calculus of sequential normal compactness in variational analysis. ⋮ coderivatives of set-valued mappings: Calculus and applications ⋮ On the convergence of the proximal algorithm for nonsmooth functions involving analytic features ⋮ Codifferential calculus ⋮ Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms ⋮ Extensions of generalized differential calculus in Asplund spaces
Cites Work
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Generalized differential calculus for nonsmooth and set-valued mappings
- Submonotone mappings in Banach spaces and applications
- Qualification conditions for calculus rules of coderivatives of multivalued mappings
- Nonconvex differential calculus for infinite-dimensional multifunctions
- Stablity of Set-Valued Mappings In Infinite Dimensions: Point Criteria and Applications
- On the local surjection property
- Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
- Fuzzy calculus for coderivatives of multifunctions
- coderivatives of set-valued mappings: Calculus and applications
- Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces
- Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces
- Nonsmooth sequential analysis in Asplund spaces
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