Perturbed Minimization Principles and Dependent Choice

Mihai Turinici ()
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Mihai Turinici: A. I. Cuza University, A. Myller Mathematical Seminar

Chapter 29 in Convex and Variational Analysis with Applications, 2026, pp 707-760 from Springer

Abstract: Abstract The Perturbed Minimization Principle in Deville and Ghoussoub [Handbook Geom. Banach Sp., Vol I, Ch 10, Elsevier Sci., 2001] is equivalent with the Dependent Choice Principle, and as such, equivalent with Ekeland’s Variational Principle [J. Math. Anal. Appl., 47 (1974), 324–353].

Keywords: Ekeland variational principle; Baire category theorem; Dependent choice; Admissible subspace; Regular function; Perturbed minimization principle; 49J53 (Primary); 47J30 (Secondary) (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-07860-5_29

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