A minimization theorem in quasi-metric spaces and its applications (Q1612907)
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scientific article; zbMATH DE number 1796606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A minimization theorem in quasi-metric spaces and its applications |
scientific article; zbMATH DE number 1796606 |
Statements
A minimization theorem in quasi-metric spaces and its applications (English)
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5 September 2002
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Caristi's fixed point theorem and Ekeland's \(\varepsilon\)-variational princile are well-known tools in nonlinear analysis. By generalizing a minmization theorem due to \textit{W. Takahashi} [in: Nonlinear Analysis and Mathematical Economics (T. Maruyama, ed.), 175-191 (1993; Zbl 0925.00073)], in quasi-metric spaces, the author extends the above results to quasi-metric spaces.
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Caristi fixed point theorem
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Ekeland variational principle
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minimisation theorem
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quasimetric spaces
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