Addition-Like Variational Principles in Asymmetric Spaces

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

A chapter in Contributions in Mathematics and Engineering, 2016, pp 617-674 from Springer

Abstract: Abstract A class of addition-like smooth variational principles in asymmetric spaces is established, under the general directions in Yongxin and Shuzhong (J Math Anal Appl 246:308–319, 2000). The obtained results lie in the logical segment between Dependent Choice principle (DC) and Ekeland’s variational principle (EVP); so, they are equivalent with both (DC) and (EVP).

Keywords: Variational Principle; Closure Operator; Auxiliary Fact; Convergence Structure; Technically Speaking (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_29

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DOI: 10.1007/978-3-319-31317-7_29

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