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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].

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Perturbed Minimization Principles and Dependent Choice

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  • 发表日期：

    2026年

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  • Mihai Turinici

摘要

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].