Fixed filter bases of multiplicative contractions on multiplicative metric spaces
Fixed filter base B of a mapping f consists of multiplicative open sets such that for given B ∈ B, there is an A ∈ B satisfying f(A) ⊂ B. Also, the constructions of fixed filter bases have been established and some results for fixed filter bases of different types of multiplicative contraction mappi...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2023-05-01
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| Series: | Surveys in Mathematics and its Applications |
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| Online Access: | https://www.utgjiu.ro/math/sma/v18/p18_04.pdf |
| _version_ | 1797832832447414272 |
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| author | G. Siva |
| author_facet | G. Siva |
| author_sort | G. Siva |
| collection | DOAJ |
| description | Fixed filter base B of a mapping f consists of multiplicative open sets such that for given B ∈ B, there is an A ∈ B satisfying f(A) ⊂ B. Also, the constructions of fixed filter bases have been established and some results for fixed filter bases of different types of multiplicative contraction mappings are derived in multiplicative metric spaces. Moreover, the concept of a fixed point at infinity is obtained in multiplicative metric spaces. |
| first_indexed | 2024-04-09T14:14:01Z |
| format | Article |
| id | doaj.art-533dd40776f64941bfbb430ce1cdd582 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-04-09T14:14:01Z |
| publishDate | 2023-05-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-533dd40776f64941bfbb430ce1cdd5822023-05-05T14:51:28ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982023-05-0118 (2023)4958Fixed filter bases of multiplicative contractions on multiplicative metric spacesG. Siva0Department of Mathematics, Alagappa University Karaikudi-630 003, India.Fixed filter base B of a mapping f consists of multiplicative open sets such that for given B ∈ B, there is an A ∈ B satisfying f(A) ⊂ B. Also, the constructions of fixed filter bases have been established and some results for fixed filter bases of different types of multiplicative contraction mappings are derived in multiplicative metric spaces. Moreover, the concept of a fixed point at infinity is obtained in multiplicative metric spaces. https://www.utgjiu.ro/math/sma/v18/p18_04.pdflocal baseopen setfixed point |
| spellingShingle | G. Siva Fixed filter bases of multiplicative contractions on multiplicative metric spaces Surveys in Mathematics and its Applications local base open set fixed point |
| title | Fixed filter bases of multiplicative contractions on multiplicative metric spaces |
| title_full | Fixed filter bases of multiplicative contractions on multiplicative metric spaces |
| title_fullStr | Fixed filter bases of multiplicative contractions on multiplicative metric spaces |
| title_full_unstemmed | Fixed filter bases of multiplicative contractions on multiplicative metric spaces |
| title_short | Fixed filter bases of multiplicative contractions on multiplicative metric spaces |
| title_sort | fixed filter bases of multiplicative contractions on multiplicative metric spaces |
| topic | local base open set fixed point |
| url | https://www.utgjiu.ro/math/sma/v18/p18_04.pdf |
| work_keys_str_mv | AT gsiva fixedfilterbasesofmultiplicativecontractionsonmultiplicativemetricspaces |