Existence and Uniqueness of Best Proximity Points for Generalized Almost Contractions
The purpose of this paper is to elicit some interesting extensions of generalized almost contraction mappings to the case of non-self-mappings with α-proximal admissible and prove best proximity point theorems for this classes. Moreover, we also give some examples and applications to support our ma...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/813614 |
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| author | Chirasak Mongkolkeha Chayut Kongban Poom Kumam |
| author_facet | Chirasak Mongkolkeha Chayut Kongban Poom Kumam |
| author_sort | Chirasak Mongkolkeha |
| collection | DOAJ |
| description | The purpose of this paper is to elicit some interesting extensions of generalized almost
contraction mappings to the case of non-self-mappings with α-proximal admissible and prove best proximity point theorems for this classes. Moreover, we also give some examples and applications to support our main results. |
| format | Article |
| id | doaj-art-cbb4da5ad1094702b2845d4902b89279 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cbb4da5ad1094702b2845d4902b892792025-02-03T06:07:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/813614813614Existence and Uniqueness of Best Proximity Points for Generalized Almost ContractionsChirasak Mongkolkeha0Chayut Kongban1Poom Kumam2Department of Mathematics, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng Saen Campus, Nakhon Pathom 73140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandThe purpose of this paper is to elicit some interesting extensions of generalized almost contraction mappings to the case of non-self-mappings with α-proximal admissible and prove best proximity point theorems for this classes. Moreover, we also give some examples and applications to support our main results.http://dx.doi.org/10.1155/2014/813614 |
| spellingShingle | Chirasak Mongkolkeha Chayut Kongban Poom Kumam Existence and Uniqueness of Best Proximity Points for Generalized Almost Contractions Abstract and Applied Analysis |
| title | Existence and Uniqueness of Best Proximity Points for Generalized Almost Contractions |
| title_full | Existence and Uniqueness of Best Proximity Points for Generalized Almost Contractions |
| title_fullStr | Existence and Uniqueness of Best Proximity Points for Generalized Almost Contractions |
| title_full_unstemmed | Existence and Uniqueness of Best Proximity Points for Generalized Almost Contractions |
| title_short | Existence and Uniqueness of Best Proximity Points for Generalized Almost Contractions |
| title_sort | existence and uniqueness of best proximity points for generalized almost contractions |
| url | http://dx.doi.org/10.1155/2014/813614 |
| work_keys_str_mv | AT chirasakmongkolkeha existenceanduniquenessofbestproximitypointsforgeneralizedalmostcontractions AT chayutkongban existenceanduniquenessofbestproximitypointsforgeneralizedalmostcontractions AT poomkumam existenceanduniquenessofbestproximitypointsforgeneralizedalmostcontractions |