Differential Calculus for Complex-Valued Multifunctions

DOI10.1515/JAA.2000.47zbMath0968.46031MaRDI QIDQ4495008

Jonas Avelin

Publication date: 10 August 2000

Published in: Journal of Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

multifunctionnormal conederivativeopennessfundamental theorem of calculusLipschitzian propertiesTaylor expansion formulaanalyticity of multifunctions

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Continuous and differentiable maps in nonlinear functional analysis (46T20) Set-valued and function-space-valued mappings on manifolds (58C06) Derivatives of functions in infinite-dimensional spaces (46G05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (1)

coderivatives of set-valued mappings: Calculus and applications

Cites Work

• Local maximum property and q-plurisubharmonic functions in uniform algebras
• Analytic set-valued functions and spectra
• Generalized differential calculus for nonsmooth and set-valued mappings
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions

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