Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices
This paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mapping in Banach lattices. Moreover, we prove the existence of a unique solution for first-order ordinary differential equations with initial value conditions by using the theoretical results with...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/191675 |
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| _version_ | 1832567668203323392 |
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| author | Xingchang Li Zhihao Wang |
| author_facet | Xingchang Li Zhihao Wang |
| author_sort | Xingchang Li |
| collection | DOAJ |
| description | This paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mapping in Banach lattices. Moreover, we prove the existence of a unique
solution for first-order ordinary differential equations with initial value conditions by using the theoretical results with no need for using the condition of a lower solution or an upper solution. |
| format | Article |
| id | doaj-art-a506b6c30459403497195b45b15d9607 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a506b6c30459403497195b45b15d96072025-02-03T01:00:50ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/191675191675Existence and Uniqueness Theorems of Ordered Contractive Map in Banach LatticesXingchang Li0Zhihao Wang1Center for Economic Research, Harbin University of Commerce, Harbin 150028, ChinaCenter for Economic Research, Harbin University of Commerce, Harbin 150028, ChinaThis paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mapping in Banach lattices. Moreover, we prove the existence of a unique solution for first-order ordinary differential equations with initial value conditions by using the theoretical results with no need for using the condition of a lower solution or an upper solution.http://dx.doi.org/10.1155/2012/191675 |
| spellingShingle | Xingchang Li Zhihao Wang Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices Abstract and Applied Analysis |
| title | Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices |
| title_full | Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices |
| title_fullStr | Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices |
| title_full_unstemmed | Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices |
| title_short | Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices |
| title_sort | existence and uniqueness theorems of ordered contractive map in banach lattices |
| url | http://dx.doi.org/10.1155/2012/191675 |
| work_keys_str_mv | AT xingchangli existenceanduniquenesstheoremsoforderedcontractivemapinbanachlattices AT zhihaowang existenceanduniquenesstheoremsoforderedcontractivemapinbanachlattices |