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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Main Authors: K. Samanmit, B. Panyanak
Format: Article
Language:English
Published: Wiley 2012-01-01
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.
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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
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