Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications
We use the notions of left- and right-complete quasi-b-metric spaces and partial ordered sets to obtain a couple of common fixed-point results for strictly weakly isotone increasing mappings and relatively weakly increasing mappings, which satisfy a pair of almost generalized contractive conditions....
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8889453 |
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| author | Hemant Kumar Nashine Sourav Shil Hiranmoy Garai Lakshmi Kanta Dey Vahid Parvaneh |
| author_facet | Hemant Kumar Nashine Sourav Shil Hiranmoy Garai Lakshmi Kanta Dey Vahid Parvaneh |
| author_sort | Hemant Kumar Nashine |
| collection | DOAJ |
| description | We use the notions of left- and right-complete quasi-b-metric spaces and partial ordered sets to obtain a couple of common fixed-point results for strictly weakly isotone increasing mappings and relatively weakly increasing mappings, which satisfy a pair of almost generalized contractive conditions. To illustrate our results, throughout the paper, we give several relevant examples. Further, we use our results to establish sufficient conditions for existence and uniqueness of solution of a system of nonlinear matrix equations and a pair of fractional differential equations. Finally, we provide a nontrivial example to validate the sufficient conditions for nonlinear matrix equations with numerical approximations. |
| format | Article |
| id | doaj-art-b69bc4ccc46344718ef4eb51ad893786 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b69bc4ccc46344718ef4eb51ad8937862025-02-03T01:01:24ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88894538889453Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and ApplicationsHemant Kumar Nashine0Sourav Shil1Hiranmoy Garai2Lakshmi Kanta Dey3Vahid Parvaneh4Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, TN, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, TN, IndiaDepartment of Mathematics, National Institute of Technology, Durgapur, IndiaDepartment of Mathematics, National Institute of Technology, Durgapur, IndiaDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranWe use the notions of left- and right-complete quasi-b-metric spaces and partial ordered sets to obtain a couple of common fixed-point results for strictly weakly isotone increasing mappings and relatively weakly increasing mappings, which satisfy a pair of almost generalized contractive conditions. To illustrate our results, throughout the paper, we give several relevant examples. Further, we use our results to establish sufficient conditions for existence and uniqueness of solution of a system of nonlinear matrix equations and a pair of fractional differential equations. Finally, we provide a nontrivial example to validate the sufficient conditions for nonlinear matrix equations with numerical approximations.http://dx.doi.org/10.1155/2020/8889453 |
| spellingShingle | Hemant Kumar Nashine Sourav Shil Hiranmoy Garai Lakshmi Kanta Dey Vahid Parvaneh Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications Journal of Mathematics |
| title | Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications |
| title_full | Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications |
| title_fullStr | Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications |
| title_full_unstemmed | Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications |
| title_short | Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications |
| title_sort | common fixed point results in ordered left right quasi b metric spaces and applications |
| url | http://dx.doi.org/10.1155/2020/8889453 |
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