On some generalizations of Ekeland??s principle and inward contractions in gauge spaces |
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Authors: | M Frigon |
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Institution: | 1. D??partement de math??matiques et de statistique, Universit?? de Montr??al, CP 6128, succ. Centre-Ville, Montr??al, Qu??bec, H3C 3J7, Canada
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Abstract: | We give generalizations in complete gauge spaces of the following results: Bishop-Phelps’ theorem, Ekeland’s variational principle,
Caristi’s fixed point theorem, the drop theorem and the flower petal theorem. We show that our generalizations are equivalent.
We apply those results to obtain fixed point theorems for multivalued contractions defined on a closed subset of a complete
gauge space and satisfying a generalized inwardness condition. |
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Keywords: | |
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