New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces
We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/9231508 |
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| _version_ | 1849695839004393472 |
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| author | Li Liu Anmin Mao Yingying Shi |
| author_facet | Li Liu Anmin Mao Yingying Shi |
| author_sort | Li Liu |
| collection | DOAJ |
| description | We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence of fixed points of mixed monotone operators. The presented results generalize and develop some existing results. In addition to an example as well as an application, we establish some uniqueness results for a system of integral equations. |
| format | Article |
| id | doaj-art-ccaf8ae469de4854879aebd800f9c808 |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ccaf8ae469de4854879aebd800f9c8082025-08-20T03:19:38ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/92315089231508New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric SpacesLi Liu0Anmin Mao1Yingying Shi2Department of Mathematic, Jining College, Qufu 272155, ChinaSchool of Mathematical Sciences, Qufu Normal University, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Shandong 273165, ChinaWe consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence of fixed points of mixed monotone operators. The presented results generalize and develop some existing results. In addition to an example as well as an application, we establish some uniqueness results for a system of integral equations.http://dx.doi.org/10.1155/2018/9231508 |
| spellingShingle | Li Liu Anmin Mao Yingying Shi New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces Journal of Function Spaces |
| title | New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces |
| title_full | New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces |
| title_fullStr | New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces |
| title_full_unstemmed | New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces |
| title_short | New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces |
| title_sort | new fixed point theorems and application of mixed monotone mappings in partially ordered metric spaces |
| url | http://dx.doi.org/10.1155/2018/9231508 |
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