On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces
In this paper, we discuss about various generalizations of α−admissible mappings. Furthermore, we extend the concept of α−admissible to generalize rational α−Geraghty contraction in G−metric space. With this new contraction mapping, we establish some fixed-point theorems in G−metric space. The obtai...
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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/10.1155/2021/6661045 |
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| author | N. Priyobarta Bulbul Khomdram Yumnam Rohen Naeem Saleem |
| author_facet | N. Priyobarta Bulbul Khomdram Yumnam Rohen Naeem Saleem |
| author_sort | N. Priyobarta |
| collection | DOAJ |
| description | In this paper, we discuss about various generalizations of α−admissible mappings. Furthermore, we extend the concept of α−admissible to generalize rational α−Geraghty contraction in G−metric space. With this new contraction mapping, we establish some fixed-point theorems in G−metric space. The obtained result is verified with an example. |
| format | Article |
| id | doaj-art-f344ccac388345f7a508b1e7d07a3147 |
| 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-f344ccac388345f7a508b1e7d07a31472025-02-03T06:06:28ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66610456661045On Generalized Rational α−Geraghty Contraction Mappings in G−Metric SpacesN. Priyobarta0Bulbul Khomdram1Yumnam Rohen2Naeem Saleem3Department 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, University of Management and Technology, Lahore, PakistanIn this paper, we discuss about various generalizations of α−admissible mappings. Furthermore, we extend the concept of α−admissible to generalize rational α−Geraghty contraction in G−metric space. With this new contraction mapping, we establish some fixed-point theorems in G−metric space. The obtained result is verified with an example.http://dx.doi.org/10.1155/2021/6661045 |
| spellingShingle | N. Priyobarta Bulbul Khomdram Yumnam Rohen Naeem Saleem On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces Journal of Mathematics |
| title | On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces |
| title_full | On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces |
| title_fullStr | On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces |
| title_full_unstemmed | On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces |
| title_short | On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces |
| title_sort | on generalized rational α geraghty contraction mappings in g metric spaces |
| url | http://dx.doi.org/10.1155/2021/6661045 |
| work_keys_str_mv | AT npriyobarta ongeneralizedrationalageraghtycontractionmappingsingmetricspaces AT bulbulkhomdram ongeneralizedrationalageraghtycontractionmappingsingmetricspaces AT yumnamrohen ongeneralizedrationalageraghtycontractionmappingsingmetricspaces AT naeemsaleem ongeneralizedrationalageraghtycontractionmappingsingmetricspaces |