Data dependence of the fixed point set of some multivalued weakly Picard operators. (Q1867295)
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scientific article; zbMATH DE number 1891307
| Language | Label | Description | Also known as |
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| English | Data dependence of the fixed point set of some multivalued weakly Picard operators. |
scientific article; zbMATH DE number 1891307 |
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Data dependence of the fixed point set of some multivalued weakly Picard operators. (English)
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2 April 2003
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The authors study the continuous dependence of the fixed point set of multivalued so-called weakly Picard operators on data, as well as of \(R\)-operators in the sense of \textit{S. Reich} [Boll. Unione Mat. Ital., IV. Ser. 4, 1--11 (1971; Zbl 0219.54042)]. An application to the Uryson type integral inclusion \[ y(t)\in \int^b_a K(t,s,y(s))\,ds+ g(t) \] is also given.
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multivalued weakly Picard operator
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fixed point
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data dependence
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integral inclusion
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