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: A. Kaewcharoen, B. Panyanak
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/50113
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-501132018-09-04T04:24:30Z Fixed point theorems for some generalized multivalued nonexpansive mappings A. Kaewcharoen B. Panyanak Mathematics 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. 2018-09-04T04:24:30Z 2018-09-04T04:24:30Z 2011-11-01 Journal 0362546X 2-s2.0-79959732162 10.1016/j.na.2011.05.042 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79959732162&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50113
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
A. Kaewcharoen
B. Panyanak
Fixed point theorems for some generalized multivalued nonexpansive mappings
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 Journal
author A. Kaewcharoen
B. Panyanak
author_facet A. Kaewcharoen
B. Panyanak
author_sort A. Kaewcharoen
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 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79959732162&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50113
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