Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space
First we prove existence of a fixed point for mappings defined on a complete modular space satisfying a general contractive inequality of integral type. Then we generalize fixed-point theorem for a quasicontraction mapping given by Khamsi (2008) and Ciric (1974).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/317107 |
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| _version_ | 1832559388423880704 |
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| author | Maryam Beygmohammadi Abdolrahman Razani |
| author_facet | Maryam Beygmohammadi Abdolrahman Razani |
| author_sort | Maryam Beygmohammadi |
| collection | DOAJ |
| description | First we prove existence of a fixed point for mappings defined on a complete modular space satisfying a general contractive
inequality of integral type. Then we generalize fixed-point theorem for a quasicontraction mapping given by Khamsi (2008) and Ciric (1974). |
| format | Article |
| id | doaj-art-f577869b3863417faedd8b2b2535b3d9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f577869b3863417faedd8b2b2535b3d92025-02-03T01:30:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/317107317107Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular SpaceMaryam Beygmohammadi0Abdolrahman Razani1Department of Mathematics, Islamic Azad University-Kermanshah Branch, IranDepartment of Mathematics, Faculty of Science, Imam Khomeini International University, IranFirst we prove existence of a fixed point for mappings defined on a complete modular space satisfying a general contractive inequality of integral type. Then we generalize fixed-point theorem for a quasicontraction mapping given by Khamsi (2008) and Ciric (1974).http://dx.doi.org/10.1155/2010/317107 |
| spellingShingle | Maryam Beygmohammadi Abdolrahman Razani Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space International Journal of Mathematics and Mathematical Sciences |
| title | Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space |
| title_full | Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space |
| title_fullStr | Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space |
| title_full_unstemmed | Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space |
| title_short | Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space |
| title_sort | two fixed point theorems for mappings satisfying a general contractive condition of integral type in the modular space |
| url | http://dx.doi.org/10.1155/2010/317107 |
| work_keys_str_mv | AT maryambeygmohammadi twofixedpointtheoremsformappingssatisfyingageneralcontractiveconditionofintegraltypeinthemodularspace AT abdolrahmanrazani twofixedpointtheoremsformappingssatisfyingageneralcontractiveconditionofintegraltypeinthemodularspace |