On Multivalued Nonexpansive Mappings in ℝ-Trees
The relationships between nonexpansive, weakly nonexpansive, *-nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and ɛ-semicontinuous mappings in ℝ-trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/629149 |
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author | K. Samanmit B. Panyanak |
author_facet | K. Samanmit B. Panyanak |
author_sort | K. Samanmit |
collection | DOAJ |
description | The relationships between nonexpansive, weakly nonexpansive, *-nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and ɛ-semicontinuous mappings in ℝ-trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed. |
format | Article |
id | doaj-art-d17d634d8dc14c67a294caa98987fd7c |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-d17d634d8dc14c67a294caa98987fd7c2025-02-03T05:59:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/629149629149On Multivalued Nonexpansive Mappings in ℝ-TreesK. Samanmit0B. Panyanak1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandThe relationships between nonexpansive, weakly nonexpansive, *-nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and ɛ-semicontinuous mappings in ℝ-trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.http://dx.doi.org/10.1155/2012/629149 |
spellingShingle | K. Samanmit B. Panyanak On Multivalued Nonexpansive Mappings in ℝ-Trees Journal of Applied Mathematics |
title | On Multivalued Nonexpansive Mappings in ℝ-Trees |
title_full | On Multivalued Nonexpansive Mappings in ℝ-Trees |
title_fullStr | On Multivalued Nonexpansive Mappings in ℝ-Trees |
title_full_unstemmed | On Multivalued Nonexpansive Mappings in ℝ-Trees |
title_short | On Multivalued Nonexpansive Mappings in ℝ-Trees |
title_sort | on multivalued nonexpansive mappings in r trees |
url | http://dx.doi.org/10.1155/2012/629149 |
work_keys_str_mv | AT ksamanmit onmultivaluednonexpansivemappingsinrtrees AT bpanyanak onmultivaluednonexpansivemappingsinrtrees |