Existence and Convergence Theorems of Best Proximity Points
The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/101439 |
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| _version_ | 1841524655564783616 |
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| author | Moosa Gabeleh Naseer Shahzad |
| author_facet | Moosa Gabeleh Naseer Shahzad |
| author_sort | Moosa Gabeleh |
| collection | DOAJ |
| description | The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings in uniformly convex Banach spaces. |
| format | Article |
| id | doaj-art-abe4ad7cabde4865a18936195e3f540e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-abe4ad7cabde4865a18936195e3f540e2025-02-03T05:47:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/101439101439Existence and Convergence Theorems of Best Proximity PointsMoosa Gabeleh0Naseer Shahzad1Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, IranDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions. We also prove a convergence theorem of best proximity point for relatively nonexpansive mappings in uniformly convex Banach spaces.http://dx.doi.org/10.1155/2013/101439 |
| spellingShingle | Moosa Gabeleh Naseer Shahzad Existence and Convergence Theorems of Best Proximity Points Journal of Applied Mathematics |
| title | Existence and Convergence Theorems of Best Proximity Points |
| title_full | Existence and Convergence Theorems of Best Proximity Points |
| title_fullStr | Existence and Convergence Theorems of Best Proximity Points |
| title_full_unstemmed | Existence and Convergence Theorems of Best Proximity Points |
| title_short | Existence and Convergence Theorems of Best Proximity Points |
| title_sort | existence and convergence theorems of best proximity points |
| url | http://dx.doi.org/10.1155/2013/101439 |
| work_keys_str_mv | AT moosagabeleh existenceandconvergencetheoremsofbestproximitypoints AT naseershahzad existenceandconvergencetheoremsofbestproximitypoints |