New fixed points of mixed monotone operators with applications to nonlinear integral equations.
In this paper, first we recall and present some basic results about cone and partial order within the framework of Banach spaces. Next, by means of the properties of cone and monotone iterative techniques, some new fixed point theorems of mixed monotone operators with certain concavity and convexity...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2025-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0325762 |
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| _version_ | 1850218337463697408 |
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| author | Shaoyuan Xu Yan Han Shixun Lin Guoqiong Zhou |
| author_facet | Shaoyuan Xu Yan Han Shixun Lin Guoqiong Zhou |
| author_sort | Shaoyuan Xu |
| collection | DOAJ |
| description | In this paper, first we recall and present some basic results about cone and partial order within the framework of Banach spaces. Next, by means of the properties of cone and monotone iterative techniques, some new fixed point theorems of mixed monotone operators with certain concavity and convexity are obtained without any compactness or continuity condition. Further, the main results are applied to two classes of nonlinear functional integral equations on unbounded regions. Our results extend and generalize previous findings. |
| format | Article |
| id | doaj-art-1ca68857ddcc4b23aeb99c0b95eaefec |
| institution | OA Journals |
| issn | 1932-6203 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj-art-1ca68857ddcc4b23aeb99c0b95eaefec2025-08-20T02:07:46ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01206e032576210.1371/journal.pone.0325762New fixed points of mixed monotone operators with applications to nonlinear integral equations.Shaoyuan XuYan HanShixun LinGuoqiong ZhouIn this paper, first we recall and present some basic results about cone and partial order within the framework of Banach spaces. Next, by means of the properties of cone and monotone iterative techniques, some new fixed point theorems of mixed monotone operators with certain concavity and convexity are obtained without any compactness or continuity condition. Further, the main results are applied to two classes of nonlinear functional integral equations on unbounded regions. Our results extend and generalize previous findings.https://doi.org/10.1371/journal.pone.0325762 |
| spellingShingle | Shaoyuan Xu Yan Han Shixun Lin Guoqiong Zhou New fixed points of mixed monotone operators with applications to nonlinear integral equations. PLoS ONE |
| title | New fixed points of mixed monotone operators with applications to nonlinear integral equations. |
| title_full | New fixed points of mixed monotone operators with applications to nonlinear integral equations. |
| title_fullStr | New fixed points of mixed monotone operators with applications to nonlinear integral equations. |
| title_full_unstemmed | New fixed points of mixed monotone operators with applications to nonlinear integral equations. |
| title_short | New fixed points of mixed monotone operators with applications to nonlinear integral equations. |
| title_sort | new fixed points of mixed monotone operators with applications to nonlinear integral equations |
| url | https://doi.org/10.1371/journal.pone.0325762 |
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