One-Local Retract and Common Fixed Point in Modular Metric Spaces
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we introduced and study the concept of one-local retract in modular metric space. In particular, we...
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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/10.1155/2013/672069 |
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| _version_ | 1832548063151915008 |
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| author | Afrah A. N. Abdou |
| author_facet | Afrah A. N. Abdou |
| author_sort | Afrah A. N. Abdou |
| collection | DOAJ |
| description | The notion of a modular metric on an arbitrary set and the corresponding
modular spaces, generalizing classical modulars over linear spaces
like Orlicz spaces, were recently introduced. In this paper we introduced and
study the concept of one-local retract in modular metric space. In particular,
we investigate the existence of common fixed points of modular nonexpansive
mappings defined on nonempty -closed -bounded subset of modular metric
space. |
| format | Article |
| id | doaj-art-724a23e9270944e9a25be0f2e03f725b |
| 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-724a23e9270944e9a25be0f2e03f725b2025-02-03T06:42:23ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/672069672069One-Local Retract and Common Fixed Point in Modular Metric SpacesAfrah A. N. Abdou0Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we introduced and study the concept of one-local retract in modular metric space. In particular, we investigate the existence of common fixed points of modular nonexpansive mappings defined on nonempty -closed -bounded subset of modular metric space.http://dx.doi.org/10.1155/2013/672069 |
| spellingShingle | Afrah A. N. Abdou One-Local Retract and Common Fixed Point in Modular Metric Spaces Abstract and Applied Analysis |
| title | One-Local Retract and Common Fixed Point in Modular Metric Spaces |
| title_full | One-Local Retract and Common Fixed Point in Modular Metric Spaces |
| title_fullStr | One-Local Retract and Common Fixed Point in Modular Metric Spaces |
| title_full_unstemmed | One-Local Retract and Common Fixed Point in Modular Metric Spaces |
| title_short | One-Local Retract and Common Fixed Point in Modular Metric Spaces |
| title_sort | one local retract and common fixed point in modular metric spaces |
| url | http://dx.doi.org/10.1155/2013/672069 |
| work_keys_str_mv | AT afrahanabdou onelocalretractandcommonfixedpointinmodularmetricspaces |