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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2014
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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 |
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Chiang Mai University Library |
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Thailand |
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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 |
| _version_ |
1681420310286434304 |