Sequentially lower complete spaces and Ekeland's variational principle (Q2516027)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sequentially lower complete spaces and Ekeland's variational principle |
scientific article |
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Sequentially lower complete spaces and Ekeland's variational principle (English)
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10 August 2015
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The main result of this paper establishes a version of the vectorial Ekeland variational principle for sequentially lower monotone maps in the framework of sequentially lower complete spaces. This abstract result enables the authors to deduce as corollaries a vectorial Caristi fixed point theorem and a vectorial Takahashi nonconvex minimization theorem.
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vectorial Ekeland variational principle
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vectorial Caristi's fixed point theorem
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vectorial Takahashi's non-convex minimization theorem
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locally convex space
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sequentially lower complete space
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