Transitivity and variational principles |
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Authors: | Lech Pasicki |
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Institution: | Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland |
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Abstract: | We apply an order reasoning to mappings satisfying the triangle inequality. This general approach yields the Ekeland’s variational principle as one of the consequences. In addition we obtain an extension of the Brøndsted variational principle and of the Takahashi fixed point theorem. |
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Keywords: | 06F99 47J99 47H10 49J45 |
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