Parametric Ekeland's variational principle |
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Affiliation: | Sofia University, ‘St. Kl. Ohridski’, Department of Mathematics and Informatics 5 James Bourchier Blvd., 1126 Sofia, Bulgaria |
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Abstract: | A parametrized version of Ekeland's variational principle is proved, showing that under suitable conditions, the minimum point of the perturbed function can be chosen to depend continuously on a parameter. Applications of this result are given. |
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