A Best Proximity Point Result in Modular Spaces with the Fatou Property
Consider a nonself-mapping , where is a pair of nonempty subsets of a modular space . A best proximity point of is a point satisfying the condition: . In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings,...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/329451 |
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| author | Mohamed Jleli Erdal Karapınar Bessem Samet |
| author_facet | Mohamed Jleli Erdal Karapınar Bessem Samet |
| author_sort | Mohamed Jleli |
| collection | DOAJ |
| description | Consider a nonself-mapping , where is a pair of nonempty subsets of a modular space . A best proximity point of is a point satisfying the condition: . In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings, we provide sufficient conditions assuring the existence and uniqueness of best proximity points. |
| format | Article |
| id | doaj-art-bdac8421cd9e498b80634d169696a791 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bdac8421cd9e498b80634d169696a7912025-02-03T01:02:40ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/329451329451A Best Proximity Point Result in Modular Spaces with the Fatou PropertyMohamed Jleli0Erdal Karapınar1Bessem Samet2Department of Mathematics, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, King Saud University, Riyadh, Saudi ArabiaConsider a nonself-mapping , where is a pair of nonempty subsets of a modular space . A best proximity point of is a point satisfying the condition: . In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings, we provide sufficient conditions assuring the existence and uniqueness of best proximity points.http://dx.doi.org/10.1155/2013/329451 |
| spellingShingle | Mohamed Jleli Erdal Karapınar Bessem Samet A Best Proximity Point Result in Modular Spaces with the Fatou Property Abstract and Applied Analysis |
| title | A Best Proximity Point Result in Modular Spaces with the Fatou Property |
| title_full | A Best Proximity Point Result in Modular Spaces with the Fatou Property |
| title_fullStr | A Best Proximity Point Result in Modular Spaces with the Fatou Property |
| title_full_unstemmed | A Best Proximity Point Result in Modular Spaces with the Fatou Property |
| title_short | A Best Proximity Point Result in Modular Spaces with the Fatou Property |
| title_sort | best proximity point result in modular spaces with the fatou property |
| url | http://dx.doi.org/10.1155/2013/329451 |
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