On nonlinear calculus in normed linear spaces endowed with an additional binary operation

DOI10.1016/0362-546X(88)90034-XzbMath0654.46044OpenAlexW1975899239MaRDI QIDQ3800556

Veikko Seppälä

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90034-x

zbMATH Keywords

nonlinear operatorFréchet differentiation\(L_{\sigma }\)-differentiationGR-differentiation

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• Differential calculus in locally convex spaces
• Near algebras
• A theory of differentiation in locally convex spaces
• Differentiability of the Exponential of a Member of a Near-Ring
• On near-algebras of mappings on Banach spaces
• Toward a characterization of the identity component of rings and near-rings of continuous transformations.
• The various definitions of the derivative in linear topological spaces
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