Some remarks on a fixed point theorem of Krasnoselskii
Using a particular locally convex space and Schaefer's theorem, a generalization of Krasnoselskii's fixed point Theorem is proved. This result is further applied to certain nonlinear integral equation proving the existence of a solution on $\mathbb{R}_{+}=[0,+\infty).$
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| Format: | Article |
| Language: | English |
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University of Szeged
2003-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=149 |
| _version_ | 1797830796643401728 |
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| author | C. Avramescu |
| author_facet | C. Avramescu |
| author_sort | C. Avramescu |
| collection | DOAJ |
| description | Using a particular locally convex space and Schaefer's theorem, a generalization of Krasnoselskii's fixed point Theorem is proved. This result is further applied to certain nonlinear integral equation proving the existence of a solution on $\mathbb{R}_{+}=[0,+\infty).$ |
| first_indexed | 2024-04-09T13:41:51Z |
| format | Article |
| id | doaj.art-9e639934b1cf40a4901edfc29fea7330 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:51Z |
| publishDate | 2003-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-9e639934b1cf40a4901edfc29fea73302023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752003-01-012003511510.14232/ejqtde.2003.1.5149Some remarks on a fixed point theorem of KrasnoselskiiC. Avramescu0University of Craiova, Craiova, RomaniaUsing a particular locally convex space and Schaefer's theorem, a generalization of Krasnoselskii's fixed point Theorem is proved. This result is further applied to certain nonlinear integral equation proving the existence of a solution on $\mathbb{R}_{+}=[0,+\infty).$http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=149 |
| spellingShingle | C. Avramescu Some remarks on a fixed point theorem of Krasnoselskii Electronic Journal of Qualitative Theory of Differential Equations |
| title | Some remarks on a fixed point theorem of Krasnoselskii |
| title_full | Some remarks on a fixed point theorem of Krasnoselskii |
| title_fullStr | Some remarks on a fixed point theorem of Krasnoselskii |
| title_full_unstemmed | Some remarks on a fixed point theorem of Krasnoselskii |
| title_short | Some remarks on a fixed point theorem of Krasnoselskii |
| title_sort | some remarks on a fixed point theorem of krasnoselskii |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=149 |
| work_keys_str_mv | AT cavramescu someremarksonafixedpointtheoremofkrasnoselskii |