Common Fixed Points for Suzuki-Generalized Nonexpansive Maps
A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is als...
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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/10.1155/2013/206759 |
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| _version_ | 1850172837178900480 |
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| author | Maryam A. Alghamdi Sompong Dhompongsa Naseer Shahzad |
| author_facet | Maryam A. Alghamdi Sompong Dhompongsa Naseer Shahzad |
| author_sort | Maryam A. Alghamdi |
| collection | DOAJ |
| description | A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is also derived. |
| format | Article |
| id | doaj-art-d5165f3f8b49402989ecf691a5cf7e52 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d5165f3f8b49402989ecf691a5cf7e522025-08-20T02:19:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/206759206759Common Fixed Points for Suzuki-Generalized Nonexpansive MapsMaryam A. Alghamdi0Sompong Dhompongsa1Naseer Shahzad2Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, P.O. Box 4087, Jeddah 21491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi ArabiaA common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is also derived.http://dx.doi.org/10.1155/2013/206759 |
| spellingShingle | Maryam A. Alghamdi Sompong Dhompongsa Naseer Shahzad Common Fixed Points for Suzuki-Generalized Nonexpansive Maps Journal of Applied Mathematics |
| title | Common Fixed Points for Suzuki-Generalized Nonexpansive Maps |
| title_full | Common Fixed Points for Suzuki-Generalized Nonexpansive Maps |
| title_fullStr | Common Fixed Points for Suzuki-Generalized Nonexpansive Maps |
| title_full_unstemmed | Common Fixed Points for Suzuki-Generalized Nonexpansive Maps |
| title_short | Common Fixed Points for Suzuki-Generalized Nonexpansive Maps |
| title_sort | common fixed points for suzuki generalized nonexpansive maps |
| url | http://dx.doi.org/10.1155/2013/206759 |
| work_keys_str_mv | AT maryamaalghamdi commonfixedpointsforsuzukigeneralizednonexpansivemaps AT sompongdhompongsa commonfixedpointsforsuzukigeneralizednonexpansivemaps AT naseershahzad commonfixedpointsforsuzukigeneralizednonexpansivemaps |