Ekeland's Variational Principle
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematical analysis, Ekeland''s variational principle is a theorem that asserts that there exists nearly optimal solutions to some optimization problems. Ekeland''s variational principle can be used when the lower level set of a minimization problems is not compact, so that the Bolzano Weierstrass theorem can not be applied. Ekeland''s principle relies on the completeness of the metric space. Ekeland''s principle leads to a quick proof of the Caristi fixed point ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematical analysis, Ekeland''s variational principle is a theorem that asserts that there exists nearly optimal solutions to some optimization problems. Ekeland''s variational principle can be used when the lower level set of a minimization problems is not compact, so that the Bolzano Weierstrass theorem can not be applied. Ekeland''s principle relies on the completeness of the metric space. Ekeland''s principle leads to a quick proof of the Caristi fixed point theorem.
