On \({\mathbb{BID}}\)-Cone <em>b</em>-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems
In this paper, we introduce the concepts of an inferior idempotent cone and a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">BID</mi></semantics></math&g...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/9/1425 |
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| author | Huaping Huang Wei-Shih Du Jen-Yuan Chen |
| author_facet | Huaping Huang Wei-Shih Du Jen-Yuan Chen |
| author_sort | Huaping Huang |
| collection | DOAJ |
| description | In this paper, we introduce the concepts of an inferior idempotent cone and a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">BID</mi></semantics></math></inline-formula>-cone <i>b</i>-metric space over Banach algebra. We establish some new existence theorems and fixed point theorems in the setting of complete <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">BID</mi></semantics></math></inline-formula>-cone <i>b</i>-metric spaces over Banach algebra. Some fundamental questions and examples are also given. |
| first_indexed | 2024-03-10T03:56:59Z |
| format | Article |
| id | doaj.art-d781a3c792de4c878ac6a93ef4201ace |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:56:59Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d781a3c792de4c878ac6a93ef4201ace2023-11-23T08:44:06ZengMDPI AGMathematics2227-73902022-04-01109142510.3390/math10091425On \({\mathbb{BID}}\)-Cone <em>b</em>-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point TheoremsHuaping Huang0Wei-Shih Du1Jen-Yuan Chen2School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, ChinaDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, TaiwanDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, TaiwanIn this paper, we introduce the concepts of an inferior idempotent cone and a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">BID</mi></semantics></math></inline-formula>-cone <i>b</i>-metric space over Banach algebra. We establish some new existence theorems and fixed point theorems in the setting of complete <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">BID</mi></semantics></math></inline-formula>-cone <i>b</i>-metric spaces over Banach algebra. Some fundamental questions and examples are also given.https://www.mdpi.com/2227-7390/10/9/1425\({\mathbb{BID}}\)-cone <i>b</i>-metric space over Banach algebrainferior idempotent cone<em>c</em>-sequence<i>θ</i>-sequence\({\mathbb{BID}}\)-cone <i>b</i>-Cauchy sequencefixed point theorem |
| spellingShingle | Huaping Huang Wei-Shih Du Jen-Yuan Chen On \({\mathbb{BID}}\)-Cone <em>b</em>-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems Mathematics \({\mathbb{BID}}\)-cone <i>b</i>-metric space over Banach algebra inferior idempotent cone <em>c</em>-sequence <i>θ</i>-sequence \({\mathbb{BID}}\)-cone <i>b</i>-Cauchy sequence fixed point theorem |
| title | On \({\mathbb{BID}}\)-Cone <em>b</em>-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems |
| title_full | On \({\mathbb{BID}}\)-Cone <em>b</em>-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems |
| title_fullStr | On \({\mathbb{BID}}\)-Cone <em>b</em>-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems |
| title_full_unstemmed | On \({\mathbb{BID}}\)-Cone <em>b</em>-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems |
| title_short | On \({\mathbb{BID}}\)-Cone <em>b</em>-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems |
| title_sort | on mathbb bid cone em b em metric spaces over banach algebras new topological properties and fixed point theorems |
| topic | \({\mathbb{BID}}\)-cone <i>b</i>-metric space over Banach algebra inferior idempotent cone <em>c</em>-sequence <i>θ</i>-sequence \({\mathbb{BID}}\)-cone <i>b</i>-Cauchy sequence fixed point theorem |
| url | https://www.mdpi.com/2227-7390/10/9/1425 |
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