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: Jukrapong Tiammee, Suthep Suantai
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/53667
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-536672018-09-04T09:55:04Z Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces Jukrapong Tiammee Suthep Suantai Mathematics 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. 2018-09-04T09:55:04Z 2018-09-04T09:55:04Z 2014-01-01 Journal 16871812 16871820 2-s2.0-84901782681 10.1186/1687-1812-2014-110 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84901782681&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/53667
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Jukrapong Tiammee
Suthep Suantai
Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces
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 Journal
author Jukrapong Tiammee
Suthep Suantai
author_facet Jukrapong Tiammee
Suthep Suantai
author_sort Jukrapong Tiammee
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
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84901782681&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/53667
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