Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory
This paper introduces the concept of q1,q2-quasi metric-like space X,p and delves into some topological properties of it. A necessary and sufficient condition related to equivalent Cauchy sequences and Cauchy sequences in X,p have been proved. Furthermore, the results of the fixed point are shown in...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5542787 |
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| _version_ | 1832566038074490880 |
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| author | Eriola Sila Sidite Duraj Elida Hoxha |
| author_facet | Eriola Sila Sidite Duraj Elida Hoxha |
| author_sort | Eriola Sila |
| collection | DOAJ |
| description | This paper introduces the concept of q1,q2-quasi metric-like space X,p and delves into some topological properties of it. A necessary and sufficient condition related to equivalent Cauchy sequences and Cauchy sequences in X,p have been proved. Furthermore, the results of the fixed point are shown in the setting of q1,q2-quasi metric-like space as applications of conditions of equivalent Cauchy sequences. Besides, some instances are inclined to epitomize the examined consequences. |
| format | Article |
| id | doaj-art-fd2372073dab43238d324e862bc56b0f |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fd2372073dab43238d324e862bc56b0f2025-02-03T01:05:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55427875542787Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point TheoryEriola Sila0Sidite Duraj1Elida Hoxha2Department of Mathematics, Faculty of Natural Science, University of Tirana, Tirana 1054, AlbaniaDepartment of Mathematics, Faculty of Natural Science, University “Luigj Gurakuqi”, Shkoder 4000, AlbaniaDepartment of Mathematics, Faculty of Natural Science, University of Tirana, Tirana 1054, AlbaniaThis paper introduces the concept of q1,q2-quasi metric-like space X,p and delves into some topological properties of it. A necessary and sufficient condition related to equivalent Cauchy sequences and Cauchy sequences in X,p have been proved. Furthermore, the results of the fixed point are shown in the setting of q1,q2-quasi metric-like space as applications of conditions of equivalent Cauchy sequences. Besides, some instances are inclined to epitomize the examined consequences.http://dx.doi.org/10.1155/2021/5542787 |
| spellingShingle | Eriola Sila Sidite Duraj Elida Hoxha Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory Journal of Mathematics |
| title | Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory |
| title_full | Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory |
| title_fullStr | Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory |
| title_full_unstemmed | Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory |
| title_short | Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory |
| title_sort | equivalent cauchy sequences in q1 q2 quasi metric like space and applications to fixed point theory |
| url | http://dx.doi.org/10.1155/2021/5542787 |
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