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 |
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doaj-9e639934b1cf40a4901edfc29fea73302021-07-14T07:21:18ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752003-01-012003511510.14232/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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
C. Avramescu |
| spellingShingle |
C. Avramescu Some remarks on a fixed point theorem of Krasnoselskii Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
C. Avramescu |
| author_sort |
C. Avramescu |
| title |
Some remarks on a fixed point theorem of Krasnoselskii |
| title_short |
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_sort |
some remarks on a fixed point theorem of krasnoselskii |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2003-01-01 |
| 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 $\mathbb{R}_{+}=[0,+\infty).$ |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=149 |
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AT cavramescu someremarksonafixedpointtheoremofkrasnoselskii |
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