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.
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Tolstonogov, A.A. Continuous Selectors of Fixed Point Sets of Multifunctions with Decomposable Values. Set-Valued Analysis 6, 129–147 (1998). https://doi.org/10.1023/A:1008690526107
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DOI: https://doi.org/10.1023/A:1008690526107