On some weak contractive mappings of integral type and fixed point results in b-metric spaces
In the article, we considered the fixed point problem for contractive mappings of integral type in the setting of $ b $-metric spaces for the first time. First, we introduced the concepts of $ \theta $-weak contraction and $ \theta $-$ \psi $-weak contraction. Second, the existence and uniqueness of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024228?viewType=HTML |
| _version_ | 1827357505213169664 |
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| author | Hongyan Guan Jinze Gou Yan Hao |
| author_facet | Hongyan Guan Jinze Gou Yan Hao |
| author_sort | Hongyan Guan |
| collection | DOAJ |
| description | In the article, we considered the fixed point problem for contractive mappings of integral type in the setting of $ b $-metric spaces for the first time. First, we introduced the concepts of $ \theta $-weak contraction and $ \theta $-$ \psi $-weak contraction. Second, the existence and uniqueness of fixed points of contractive mappings of integral type in $ b $-metric spaces were studied. Meanwhile, two examples were given to prove the feasibility of our results. As an application, we proved the solvability of a functional equation arising in dynamic programming. |
| first_indexed | 2024-03-08T05:33:47Z |
| format | Article |
| id | doaj.art-3cb4d286d181422bb4d2e33a7e0bda4a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T05:33:47Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-3cb4d286d181422bb4d2e33a7e0bda4a2024-02-06T01:37:59ZengAIMS PressAIMS Mathematics2473-69882024-01-01924729474810.3934/math.2024228On some weak contractive mappings of integral type and fixed point results in b-metric spacesHongyan Guan0Jinze Gou 1Yan Hao2School of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, ChinaSchool of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, ChinaSchool of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, ChinaIn the article, we considered the fixed point problem for contractive mappings of integral type in the setting of $ b $-metric spaces for the first time. First, we introduced the concepts of $ \theta $-weak contraction and $ \theta $-$ \psi $-weak contraction. Second, the existence and uniqueness of fixed points of contractive mappings of integral type in $ b $-metric spaces were studied. Meanwhile, two examples were given to prove the feasibility of our results. As an application, we proved the solvability of a functional equation arising in dynamic programming.https://www.aimspress.com/article/doi/10.3934/math.2024228?viewType=HTMLfixed pointcontractive mapping of integral type$ \theta $-weak contraction$ \theta $-$ \psi $-weak contraction$ b $-metric |
| spellingShingle | Hongyan Guan Jinze Gou Yan Hao On some weak contractive mappings of integral type and fixed point results in b-metric spaces AIMS Mathematics fixed point contractive mapping of integral type $ \theta $-weak contraction $ \theta $-$ \psi $-weak contraction $ b $-metric |
| title | On some weak contractive mappings of integral type and fixed point results in b-metric spaces |
| title_full | On some weak contractive mappings of integral type and fixed point results in b-metric spaces |
| title_fullStr | On some weak contractive mappings of integral type and fixed point results in b-metric spaces |
| title_full_unstemmed | On some weak contractive mappings of integral type and fixed point results in b-metric spaces |
| title_short | On some weak contractive mappings of integral type and fixed point results in b-metric spaces |
| title_sort | on some weak contractive mappings of integral type and fixed point results in b metric spaces |
| topic | fixed point contractive mapping of integral type $ \theta $-weak contraction $ \theta $-$ \psi $-weak contraction $ b $-metric |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024228?viewType=HTML |
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