Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces

In this paper, we introduce two new types of monotone multi-valued mappings in partially ordered metric spaces and prove some fixed point theorems of those two types of mappings under some contraction conditions. Our main results extend many known results in the literature. Moreover, we also give an...

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Main Authors: Tiammee J., Suantai S.
格式: Article
語言:English
出版: Hindawi Publishing Corporation 2014
在線閱讀:http://www.scopus.com/inward/record.url?eid=2-s2.0-84901782681&partnerID=40&md5=42dfa0467c4a9a8924be7add673cc4e7
http://cmuir.cmu.ac.th/handle/6653943832/4826
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spelling th-cmuir.6653943832-48262014-08-30T02:55:50Z Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces Tiammee J. Suantai S. In this paper, we introduce two new types of monotone multi-valued mappings in partially ordered metric spaces and prove some fixed point theorems of those two types of mappings under some contraction conditions. Our main results extend many known results in the literature. Moreover, we also give an example which satisfies our main theorem but Nadler's theorem cannot be applied. © 2014 Tiammee and Suantai; licensee Springer. 2014-08-30T02:55:50Z 2014-08-30T02:55:50Z 2014 Article 16871812 10.1186/1687-1812-2014-110 http://www.scopus.com/inward/record.url?eid=2-s2.0-84901782681&partnerID=40&md5=42dfa0467c4a9a8924be7add673cc4e7 http://cmuir.cmu.ac.th/handle/6653943832/4826 English Hindawi Publishing Corporation
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description In this paper, we introduce two new types of monotone multi-valued mappings in partially ordered metric spaces and prove some fixed point theorems of those two types of mappings under some contraction conditions. Our main results extend many known results in the literature. Moreover, we also give an example which satisfies our main theorem but Nadler's theorem cannot be applied. © 2014 Tiammee and Suantai; licensee Springer.
format Article
author Tiammee J.
Suantai S.
spellingShingle Tiammee J.
Suantai S.
Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces
author_facet Tiammee J.
Suantai S.
author_sort Tiammee J.
title Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces
title_short Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces
title_full Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces
title_fullStr Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces
title_full_unstemmed Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces
title_sort fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces
publisher Hindawi Publishing Corporation
publishDate 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-84901782681&partnerID=40&md5=42dfa0467c4a9a8924be7add673cc4e7
http://cmuir.cmu.ac.th/handle/6653943832/4826
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