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Continuous Selectors of Fixed Point Sets of Multifunctions with Decomposable Values |
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| Authors: | A A Tolstonogov |
| Institution: | (1) Siberian Branch of Russian Academy of Sciences, Irkutsk Computer Center, PO Box 1233, Irkutsk, 664033, Russia |
| Abstract: | Existence theorems of continuous selectors whose values are fixed points of multivalued contractions are proved. As an application, the existence of continuous selectors to generalized solution sets of partial differential inclusions, depending on a parameter, is obtained. |
| Keywords: | multifunctions multivalued contractions continuous selectors decomposable sets fixed points arcwise connectedness absolute retracts partial differential inclusions |
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