Approximation structures and applications to evolution equations
We discuss various properties of the nonlinear A-proper operators as well as a generalized Leray-Schauder principle. Also, a method of approximating arbitrary continuous operators by A-proper mappings is described. We construct, via appropriate Browder-Petryshyn approximation schemes, approximative...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503301010 |
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| _version_ | 1832567708347006976 |
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| author | Adrian Duma Cristian Vladimirescu |
| author_facet | Adrian Duma Cristian Vladimirescu |
| author_sort | Adrian Duma |
| collection | DOAJ |
| description | We discuss various properties of the nonlinear A-proper operators as well as a generalized Leray-Schauder principle. Also, a method of approximating arbitrary continuous operators by A-proper mappings is described. We construct, via appropriate Browder-Petryshyn approximation schemes, approximative solutions for linear evolution equations in Banach spaces. |
| format | Article |
| id | doaj-art-1bc1576e9a144f7a9f7ae9b82f8bc335 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1bc1576e9a144f7a9f7ae9b82f8bc3352025-02-03T01:00:45ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-0120031268569610.1155/S1085337503301010Approximation structures and applications to evolution equationsAdrian Duma0Cristian Vladimirescu1Department of Mathematics, University of Craiova, Craiova 1100 , RomaniaDepartment of Mathematics, University of Craiova, Craiova 1100 , RomaniaWe discuss various properties of the nonlinear A-proper operators as well as a generalized Leray-Schauder principle. Also, a method of approximating arbitrary continuous operators by A-proper mappings is described. We construct, via appropriate Browder-Petryshyn approximation schemes, approximative solutions for linear evolution equations in Banach spaces.http://dx.doi.org/10.1155/S1085337503301010 |
| spellingShingle | Adrian Duma Cristian Vladimirescu Approximation structures and applications to evolution equations Abstract and Applied Analysis |
| title | Approximation structures and applications to evolution equations |
| title_full | Approximation structures and applications to evolution equations |
| title_fullStr | Approximation structures and applications to evolution equations |
| title_full_unstemmed | Approximation structures and applications to evolution equations |
| title_short | Approximation structures and applications to evolution equations |
| title_sort | approximation structures and applications to evolution equations |
| url | http://dx.doi.org/10.1155/S1085337503301010 |
| work_keys_str_mv | AT adrianduma approximationstructuresandapplicationstoevolutionequations AT cristianvladimirescu approximationstructuresandapplicationstoevolutionequations |