Analytic contractive vector fields in Fréchet spaces

DOI10.1017/S000497270002565XzbMath0514.47042OpenAlexW2060411560MaRDI QIDQ3660402

Duong Minh Duc

Publication date: 1983

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270002565x

zbMATH Keywords

topological degreeinverse mapping theoremSard-Smale theorem for analytic contractive vector fields in Frechet spaces

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Locally convex Fréchet spaces and (DF)-spaces (46A04) Derivatives of functions in infinite-dimensional spaces (46G05) Implicit function theorems; global Newton methods on manifolds (58C15)

Cites Work

• Topological degree and nonlinear mappings of analytic type in Banach spaces
• Analytic functional mappings
• Compact analytic mappings of B‐spaces and a theorem of Jane Cronin
• An Infinite Dimensional Version of Sard's Theorem
• LIMIT-COMPACT AND CONDENSING OPERATORS
• The Fixed Point Index of a Linear K -Set Contraction
• The measure of the critical values of differentiable maps

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