Fixed point theorems for some generalized multivalued nonexpansive mappings

In this paper, we introduce a condition on multivalued mappings which is a multivalued version of condition (Cλ) defined by Garcia-Falset et al. (2011) [3]. It is shown here that some of the classical fixed point theorems for multivalued nonexpansive mappings can be extended to mappings satisfying t...

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Main Authors: Kaewcharoen A., Panyanak B.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-79959732162&partnerID=40&md5=9e16300873e4f48a1440f3f29a1e9736
http://cmuir.cmu.ac.th/handle/6653943832/6436
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spelling th-cmuir.6653943832-64362014-08-30T03:24:12Z Fixed point theorems for some generalized multivalued nonexpansive mappings Kaewcharoen A. Panyanak B. In this paper, we introduce a condition on multivalued mappings which is a multivalued version of condition (Cλ) defined by Garcia-Falset et al. (2011) [3]. It is shown here that some of the classical fixed point theorems for multivalued nonexpansive mappings can be extended to mappings satisfying this condition. Our results generalize the results in Lim (1974), Lami Dozo (1973), Kirk and Massa (1990), Garcia-Falset et al. (2011), Dhompongsa et al. (2009) and Abkar and Eslamian (2010) [46,3,7,8] and many others. © 2011 Elsevier Ltd. All rights reserved. 2014-08-30T03:24:12Z 2014-08-30T03:24:12Z 2011 Article 0362546X 10.1016/j.na.2011.05.042 NOAND http://www.scopus.com/inward/record.url?eid=2-s2.0-79959732162&partnerID=40&md5=9e16300873e4f48a1440f3f29a1e9736 http://cmuir.cmu.ac.th/handle/6653943832/6436 English
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description In this paper, we introduce a condition on multivalued mappings which is a multivalued version of condition (Cλ) defined by Garcia-Falset et al. (2011) [3]. It is shown here that some of the classical fixed point theorems for multivalued nonexpansive mappings can be extended to mappings satisfying this condition. Our results generalize the results in Lim (1974), Lami Dozo (1973), Kirk and Massa (1990), Garcia-Falset et al. (2011), Dhompongsa et al. (2009) and Abkar and Eslamian (2010) [46,3,7,8] and many others. © 2011 Elsevier Ltd. All rights reserved.
format Article
author Kaewcharoen A.
Panyanak B.
spellingShingle Kaewcharoen A.
Panyanak B.
Fixed point theorems for some generalized multivalued nonexpansive mappings
author_facet Kaewcharoen A.
Panyanak B.
author_sort Kaewcharoen A.
title Fixed point theorems for some generalized multivalued nonexpansive mappings
title_short Fixed point theorems for some generalized multivalued nonexpansive mappings
title_full Fixed point theorems for some generalized multivalued nonexpansive mappings
title_fullStr Fixed point theorems for some generalized multivalued nonexpansive mappings
title_full_unstemmed Fixed point theorems for some generalized multivalued nonexpansive mappings
title_sort fixed point theorems for some generalized multivalued nonexpansive mappings
publishDate 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-79959732162&partnerID=40&md5=9e16300873e4f48a1440f3f29a1e9736
http://cmuir.cmu.ac.th/handle/6653943832/6436
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