Two implicit function theorems

DOI10.1070/RM1991V046N03ABEH002797zbMath0739.47028OpenAlexW2011485867MaRDI QIDQ3980242

S. V. Burtsev

Publication date: 26 June 1992

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1991v046n03abeh002797

zbMATH Keywords

implicit function theoremconstraint on values of the implicit mappingoperators of smooth-convex typestability of solutions for nonlinear optimization problems in Banach space

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Equations involving nonlinear operators (general) (47J05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Derivatives of functions in infinite-dimensional spaces (46G05) Implicit function theorems; global Newton methods on manifolds (58C15)

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