Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric Spaces
In this paper, we prove a Sehgal–Guseman-type fixed point theorem in b-rectangular metric spaces which provides a complete solution to an open problem raised by Zoran D. Mitrović (A note on a Banach’s fixed point theorem in <i>b</i>-rectangular metric space and <i>b</i>-metri...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/24/3149 |
| _version_ | 1797502634987356160 |
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| author | Dingwei Zheng Guofei Ye Dawei Liu |
| author_facet | Dingwei Zheng Guofei Ye Dawei Liu |
| author_sort | Dingwei Zheng |
| collection | DOAJ |
| description | In this paper, we prove a Sehgal–Guseman-type fixed point theorem in b-rectangular metric spaces which provides a complete solution to an open problem raised by Zoran D. Mitrović (A note on a Banach’s fixed point theorem in <i>b</i>-rectangular metric space and <i>b</i>-metric space). The result presented in the paper generalizes and unifies some results in fixed point theory. |
| first_indexed | 2024-03-10T03:37:54Z |
| format | Article |
| id | doaj.art-3caeddda241b4e5d840a76b59826c670 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:37:54Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3caeddda241b4e5d840a76b59826c6702023-11-23T09:24:53ZengMDPI AGMathematics2227-73902021-12-01924314910.3390/math9243149Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric SpacesDingwei Zheng0Guofei Ye1Dawei Liu2College of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaIn this paper, we prove a Sehgal–Guseman-type fixed point theorem in b-rectangular metric spaces which provides a complete solution to an open problem raised by Zoran D. Mitrović (A note on a Banach’s fixed point theorem in <i>b</i>-rectangular metric space and <i>b</i>-metric space). The result presented in the paper generalizes and unifies some results in fixed point theory.https://www.mdpi.com/2227-7390/9/24/3149fixed point<i>b</i>-metric spacerectangular metric space<i>b</i>-rectangular metric space |
| spellingShingle | Dingwei Zheng Guofei Ye Dawei Liu Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric Spaces Mathematics fixed point <i>b</i>-metric space rectangular metric space <i>b</i>-rectangular metric space |
| title | Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric Spaces |
| title_full | Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric Spaces |
| title_fullStr | Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric Spaces |
| title_full_unstemmed | Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric Spaces |
| title_short | Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric Spaces |
| title_sort | sehgal guseman type fixed point theorem in i b i rectangular metric spaces |
| topic | fixed point <i>b</i>-metric space rectangular metric space <i>b</i>-rectangular metric space |
| url | https://www.mdpi.com/2227-7390/9/24/3149 |
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