The rule of Lagrange multipliers in locally convex spaces

DOI10.1007/BF00968662zbMath0514.47040MaRDI QIDQ1051238

M. F. Sukhinin

Publication date: 1982

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

approximations of sets by conesexistence of extremal pointsKakutani-Fan fixed point theoremLagrange multiplier principlenonlinear functionals in locally convex topological vector spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence theories for problems in abstract spaces (49J27) Convex sets in topological linear spaces; Choquet theory (46A55) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Differentiability with respect to parameters in the presence of a priori estimates ⋮ Perturbations of extremal problems with constraints and necessary optimality conditions

Cites Work

• Nonhomogeneous finitely Bernoulli sequences of measurable partitions
• An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. I. General Theory
• The various definitions of the derivative in linear topological spaces
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Sufficient conditions for extremum, penalty functions and regularity
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