Ekeland's Variational Principle
978-613-1-30365-4
6131303657
128
2010-08-17
45.00 €
eng
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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 theorem.
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