Inverse function theorem and conditions of extremum for abnormal problems with non-closed range

DOI10.1070/SM2005v196n09ABEH003642zbMath1161.47044OpenAlexW2009748843MaRDI QIDQ5459389

Evgeniy Avakov, Aram V. Arutyunov

Publication date: 28 April 2008

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2005v196n09abeh003642

zbMATH Keywords

minimization problemsnonlinear mappinginverse function theorem

Mathematics Subject Classification ID

Optimality conditions for problems in abstract spaces (49K27) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (3)

Stability theorem and extremum conditions for abnormal problems ⋮ Necessary conditions for an extremum in a mathematical programming problem ⋮ Stability of real solutions to nonlinear equations and its applications

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