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A class of functions whose sublevel sets are absolute retracts |
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| Authors: | Biagio Ricceri |
| Affiliation: | Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy |
| Abstract: | In this paper, we prove a result of which the following is a corollary: If X is a Banach space and J:X→R is a contraction, then the nonempty sublevel sets of the function x→‖x‖+J(x) are absolute retracts. |
| Keywords: | 54C30 54C55 54C60 54H25 |
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