Krasnoselskii's theorem in generalized Banach spaces and application
The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators. As applications, we will give some existence results for abstract system of Fredholm-Volterra type differential equations and inclusion...
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1873 |
| _version_ | 1797830680595398656 |
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| author | I. R. Petre Adrian Petrusel |
| author_facet | I. R. Petre Adrian Petrusel |
| author_sort | I. R. Petre |
| collection | DOAJ |
| description | The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators. As applications, we will give some existence results for abstract system of Fredholm-Volterra type differential equations and inclusions. |
| first_indexed | 2024-04-09T13:39:57Z |
| format | Article |
| id | doaj.art-e75300078fc54045a312b95d4393a750 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:57Z |
| publishDate | 2012-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-e75300078fc54045a312b95d4393a7502023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-10-0120128512010.14232/ejqtde.2012.1.851873Krasnoselskii's theorem in generalized Banach spaces and applicationI. R. Petre0Adrian Petrusel1Department of Applied Mathematics, Babes-Bolyai University, Cluj-Napoca, RomaniaDepartment of Applied Mathematics, Babes-Bolyai University, Cluj-Napoca, RomaniaThe purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators. As applications, we will give some existence results for abstract system of Fredholm-Volterra type differential equations and inclusions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1873compact operatorcomplete generalized metric spacecontraction principlefixed pointgeneralized contractiongeneralized banach spacegeneralized metric spaceintegral equationintegral inclusioniterative methodkrasnoselskii theorema-contractionmatrix convergent to zeromultivalued operatorpicard operatorperov theoremrelatively compact operatorsinglevalued operatorschauder theoremsum of two operatorsvector-valued metricvector-valued normweakly picard operatorfredholm-volterra equationfredholm-volterra inclusion |
| spellingShingle | I. R. Petre Adrian Petrusel Krasnoselskii's theorem in generalized Banach spaces and application Electronic Journal of Qualitative Theory of Differential Equations compact operator complete generalized metric space contraction principle fixed point generalized contraction generalized banach space generalized metric space integral equation integral inclusion iterative method krasnoselskii theorem a-contraction matrix convergent to zero multivalued operator picard operator perov theorem relatively compact operator singlevalued operator schauder theorem sum of two operators vector-valued metric vector-valued norm weakly picard operator fredholm-volterra equation fredholm-volterra inclusion |
| title | Krasnoselskii's theorem in generalized Banach spaces and application |
| title_full | Krasnoselskii's theorem in generalized Banach spaces and application |
| title_fullStr | Krasnoselskii's theorem in generalized Banach spaces and application |
| title_full_unstemmed | Krasnoselskii's theorem in generalized Banach spaces and application |
| title_short | Krasnoselskii's theorem in generalized Banach spaces and application |
| title_sort | krasnoselskii s theorem in generalized banach spaces and application |
| topic | compact operator complete generalized metric space contraction principle fixed point generalized contraction generalized banach space generalized metric space integral equation integral inclusion iterative method krasnoselskii theorem a-contraction matrix convergent to zero multivalued operator picard operator perov theorem relatively compact operator singlevalued operator schauder theorem sum of two operators vector-valued metric vector-valued norm weakly picard operator fredholm-volterra equation fredholm-volterra inclusion |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1873 |
| work_keys_str_mv | AT irpetre krasnoselskiistheoremingeneralizedbanachspacesandapplication AT adrianpetrusel krasnoselskiistheoremingeneralizedbanachspacesandapplication |