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A selection theorem for quasi-lower semicontinuous mappings in hyperconvex spaces |
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| Authors: | Jack T. Markin |
| Affiliation: | 528 Rover Blvd., Los Alamos, NM 87544, USA |
| Abstract: | We prove a continuous selection theorem for quasi-lower semicontinuous mappings with values that are closed sub-admissible subsets of a hyperconvex metric space and apply this result to obtain fixed point theorems in these spaces. |
| Keywords: | Hyperconvex metric space Quasi-lower semicontinuous multivalued mapping Continuous selection Fixed point |
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