On smooth variational principles in Banach spaces

DOI10.1006/jmaa.1996.0013zbMath0868.49012OpenAlexW2067656518MaRDI QIDQ1916705

Petr Hájek, Jon Vanderwerff, Martin Fabian

Publication date: 18 August 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0013

zbMATH Keywords

Borwein-Preiss variational principleFréchet differentiable bump functionsvariational principle of Ekelandvariational principles in Banach spaces

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Variational principles in infinite-dimensional spaces (58E30) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Derivatives of functions in infinite-dimensional spaces (46G05) Optimality conditions for problems in abstract spaces (49K27)

Related Items (5)

Every closed convex set is the set of minimizers of some $C^{\infty }$-smooth convex function ⋮ Rolle's theorem and negligibility of points in infinite dimensional Banach spaces ⋮ Borwein-Preiss vector variational principle ⋮ Ekeland's variational principle for interval-valued functions ⋮ On the equivalence of some basic principles in variational analysis

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