Krasnosel’skii Type Fixed Point Theorems for Mappings on Nonconvex Sets
We prove Krasnosel'skii type fixed point theorems in situations where the domain is not necessarily convex. As an application, the existence of solutions for perturbed integral equation is considered in p-normed spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/267531 |
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| author | Maryam A. Alghamdi Donal O'Regan Naseer Shahzad |
| author_facet | Maryam A. Alghamdi Donal O'Regan Naseer Shahzad |
| author_sort | Maryam A. Alghamdi |
| collection | DOAJ |
| description | We prove Krasnosel'skii type fixed point theorems in situations where the domain is not necessarily convex. As an application, the existence of solutions for perturbed integral equation is considered in p-normed spaces. |
| format | Article |
| id | doaj-art-95b9ef89c8a44293901ff9d9ccad7147 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-95b9ef89c8a44293901ff9d9ccad71472025-08-20T02:10:05ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/267531267531Krasnosel’skii Type Fixed Point Theorems for Mappings on Nonconvex SetsMaryam A. Alghamdi0Donal O'Regan1Naseer Shahzad2Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, P.O. Box 4087, Jeddah 21491, Saudi ArabiaDepartment of Mathematics, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi ArabiaWe prove Krasnosel'skii type fixed point theorems in situations where the domain is not necessarily convex. As an application, the existence of solutions for perturbed integral equation is considered in p-normed spaces.http://dx.doi.org/10.1155/2012/267531 |
| spellingShingle | Maryam A. Alghamdi Donal O'Regan Naseer Shahzad Krasnosel’skii Type Fixed Point Theorems for Mappings on Nonconvex Sets Abstract and Applied Analysis |
| title | Krasnosel’skii Type Fixed Point Theorems for Mappings on Nonconvex Sets |
| title_full | Krasnosel’skii Type Fixed Point Theorems for Mappings on Nonconvex Sets |
| title_fullStr | Krasnosel’skii Type Fixed Point Theorems for Mappings on Nonconvex Sets |
| title_full_unstemmed | Krasnosel’skii Type Fixed Point Theorems for Mappings on Nonconvex Sets |
| title_short | Krasnosel’skii Type Fixed Point Theorems for Mappings on Nonconvex Sets |
| title_sort | krasnosel skii type fixed point theorems for mappings on nonconvex sets |
| url | http://dx.doi.org/10.1155/2012/267531 |
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