A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces
In this paper, we introduce generalized weakly contractive mappings in the setting of multiplicative metric spaces. Further we establish a common fixed point result and proved the existence and uniqueness of a common fixed point. Finally, we provide an example in support of our main finding.
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| Format: | Article |
| Language: | English |
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ATNAA
2020-03-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/pub/atnaa/issue/50247/573903 |
| _version_ | 1797909521795907584 |
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| author | Kidane KOYAS, Alemayehu GEBRE, Aynalem KASSAYE |
| author_facet | Kidane KOYAS, Alemayehu GEBRE, Aynalem KASSAYE |
| author_sort | Kidane KOYAS, Alemayehu GEBRE, Aynalem KASSAYE |
| collection | DOAJ |
| description | In this paper, we introduce generalized weakly contractive mappings in the setting of multiplicative metric spaces. Further we establish a common fixed point result and proved the existence and uniqueness of a common fixed point. Finally, we provide an example in support of our main finding. |
| first_indexed | 2024-04-10T11:09:41Z |
| format | Article |
| id | doaj.art-fd28084f53d648feab49456f0bd1d93a |
| institution | Directory Open Access Journal |
| issn | 2587-2648 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T11:09:41Z |
| publishDate | 2020-03-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-fd28084f53d648feab49456f0bd1d93a2023-02-15T16:19:14ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482020-03-014111310.31197/atnaa.573903A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric SpacesKidane KOYAS, Alemayehu GEBRE, Aynalem KASSAYEIn this paper, we introduce generalized weakly contractive mappings in the setting of multiplicative metric spaces. Further we establish a common fixed point result and proved the existence and uniqueness of a common fixed point. Finally, we provide an example in support of our main finding.https://dergipark.org.tr/tr/pub/atnaa/issue/50247/573903generalized weakly contractive mappingsmultiplicative metric spacecommon fixed points |
| spellingShingle | Kidane KOYAS, Alemayehu GEBRE, Aynalem KASSAYE A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces Advances in the Theory of Nonlinear Analysis and its Applications generalized weakly contractive mappings multiplicative metric space common fixed points |
| title | A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces |
| title_full | A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces |
| title_fullStr | A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces |
| title_full_unstemmed | A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces |
| title_short | A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces |
| title_sort | common fixed point theorem for generalized weakly contractive mappings in multiplicative metric spaces |
| topic | generalized weakly contractive mappings multiplicative metric space common fixed points |
| url | https://dergipark.org.tr/tr/pub/atnaa/issue/50247/573903 |
| work_keys_str_mv | AT kidanekoyasalemayehugebreaynalemkassaye acommonfixedpointtheoremforgeneralizedweaklycontractivemappingsinmultiplicativemetricspaces AT kidanekoyasalemayehugebreaynalemkassaye commonfixedpointtheoremforgeneralizedweaklycontractivemappingsinmultiplicativemetricspaces |