Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings
In this paper, we discuss about different types of α,β-admissible mappings and introduce some new α,β-contraction-type mappings under simulation function. Furthermore, we present the definition of S-metric-like space and its topological properties. Some fixed point theorems in this space are establi...
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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: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6697739 |
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| author | Bulbul Khomdram N. Priyobarta Yumnam Rohen Thounaojam Indubala |
| author_facet | Bulbul Khomdram N. Priyobarta Yumnam Rohen Thounaojam Indubala |
| author_sort | Bulbul Khomdram |
| collection | DOAJ |
| description | In this paper, we discuss about different types of α,β-admissible mappings and introduce some new α,β-contraction-type mappings under simulation function. Furthermore, we present the definition of S-metric-like space and its topological properties. Some fixed point theorems in this space are established, proved, and verified with examples. |
| format | Article |
| id | doaj-art-1e50429bad5048a8a7dcaf25884ebe0b |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1e50429bad5048a8a7dcaf25884ebe0b2025-08-20T02:03:47ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66977396697739Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction MappingsBulbul Khomdram0N. Priyobarta1Yumnam Rohen2Thounaojam Indubala3Department of Mathematics, National Institute of Technology Manipur, Langol, Imphal 795004, IndiaDepartment of Mathematics, National Institute of Technology Manipur, Langol, Imphal 795004, IndiaDepartment of Mathematics, National Institute of Technology Manipur, Langol, Imphal 795004, IndiaDepartment of Mathematics, D.M. College of Arts, Dhanamanjuri University, Imphal 795004, IndiaIn this paper, we discuss about different types of α,β-admissible mappings and introduce some new α,β-contraction-type mappings under simulation function. Furthermore, we present the definition of S-metric-like space and its topological properties. Some fixed point theorems in this space are established, proved, and verified with examples.http://dx.doi.org/10.1155/2021/6697739 |
| spellingShingle | Bulbul Khomdram N. Priyobarta Yumnam Rohen Thounaojam Indubala Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings Journal of Mathematics |
| title | Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings |
| title_full | Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings |
| title_fullStr | Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings |
| title_full_unstemmed | Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings |
| title_short | Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings |
| title_sort | remarks on α β admissible mappings and fixed points under z contraction mappings |
| url | http://dx.doi.org/10.1155/2021/6697739 |
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