On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
In the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6620083 |
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| _version_ | 1832552588263817216 |
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| author | Jerolina Fernandez Neeraj Malviya Vahid Parvaneh Hassen Aydi Babak Mohammadi |
| author_facet | Jerolina Fernandez Neeraj Malviya Vahid Parvaneh Hassen Aydi Babak Mohammadi |
| author_sort | Jerolina Fernandez |
| collection | DOAJ |
| description | In the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results. |
| format | Article |
| id | doaj-art-bb041f240531426492980817af9b3929 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-bb041f240531426492980817af9b39292025-02-03T05:58:21ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66200836620083On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point TheoremsJerolina Fernandez0Neeraj Malviya1Vahid Parvaneh2Hassen Aydi3Babak Mohammadi4Department of Science, The Bhopal School of Social Sciences, 462024, Bhopal, M.P., IndiaDepartment of Mathematics, Government College, Timarni, M.P., IndiaDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranUniversité de Sousse, Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Mathematics, Marand Branch, Islamic Azad University, Marand, IranIn the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.http://dx.doi.org/10.1155/2021/6620083 |
| spellingShingle | Jerolina Fernandez Neeraj Malviya Vahid Parvaneh Hassen Aydi Babak Mohammadi On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems Advances in Mathematical Physics |
| title | On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems |
| title_full | On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems |
| title_fullStr | On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems |
| title_full_unstemmed | On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems |
| title_short | On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems |
| title_sort | on j cone metric spaces over a banach algebra and some fixed point theorems |
| url | http://dx.doi.org/10.1155/2021/6620083 |
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