Results in <i>wt</i>-Distance over <i>b</i>-Metric Spaces
In this manuscript, we introduce Meir-Keeler type contractions and Geraghty type contractions in the setting of the <inline-formula> <math display="inline"> <semantics> <mrow> <mi>w</mi> <mi>t</mi> </mrow> </semantics> </math&g...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/2/220 |
| _version_ | 1819104451948969984 |
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| author | Erdal Karapınar Cristian Chifu |
| author_facet | Erdal Karapınar Cristian Chifu |
| author_sort | Erdal Karapınar |
| collection | DOAJ |
| description | In this manuscript, we introduce Meir-Keeler type contractions and Geraghty type contractions in the setting of the <inline-formula> <math display="inline"> <semantics> <mrow> <mi>w</mi> <mi>t</mi> </mrow> </semantics> </math> </inline-formula>-distances over <i>b</i>-metric spaces. We examine the existence of a fixed point for such mappings. Under some additional assumption, we proved the uniqueness of the found fixed point. |
| first_indexed | 2024-12-22T02:06:34Z |
| format | Article |
| id | doaj.art-593bb963826947e491cf42d93526e0d2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-22T02:06:34Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-593bb963826947e491cf42d93526e0d22022-12-21T18:42:30ZengMDPI AGMathematics2227-73902020-02-018222010.3390/math8020220math8020220Results in <i>wt</i>-Distance over <i>b</i>-Metric SpacesErdal Karapınar0Cristian Chifu1Department of Medical Research, China Medical University, Taichung 40402, TaiwanDepartment of Business, Babeş-Bolyai University Cluj-Napoca, Horea Street, No. 7, 400084 Cluj-Napoca, RomaniaIn this manuscript, we introduce Meir-Keeler type contractions and Geraghty type contractions in the setting of the <inline-formula> <math display="inline"> <semantics> <mrow> <mi>w</mi> <mi>t</mi> </mrow> </semantics> </math> </inline-formula>-distances over <i>b</i>-metric spaces. We examine the existence of a fixed point for such mappings. Under some additional assumption, we proved the uniqueness of the found fixed point.https://www.mdpi.com/2227-7390/8/2/220<i>wt</i>-distancemeir-keeler type contractiongeraghty type contraction<i>b</i>-metric |
| spellingShingle | Erdal Karapınar Cristian Chifu Results in <i>wt</i>-Distance over <i>b</i>-Metric Spaces Mathematics <i>wt</i>-distance meir-keeler type contraction geraghty type contraction <i>b</i>-metric |
| title | Results in <i>wt</i>-Distance over <i>b</i>-Metric Spaces |
| title_full | Results in <i>wt</i>-Distance over <i>b</i>-Metric Spaces |
| title_fullStr | Results in <i>wt</i>-Distance over <i>b</i>-Metric Spaces |
| title_full_unstemmed | Results in <i>wt</i>-Distance over <i>b</i>-Metric Spaces |
| title_short | Results in <i>wt</i>-Distance over <i>b</i>-Metric Spaces |
| title_sort | results in i wt i distance over i b i metric spaces |
| topic | <i>wt</i>-distance meir-keeler type contraction geraghty type contraction <i>b</i>-metric |
| url | https://www.mdpi.com/2227-7390/8/2/220 |
| work_keys_str_mv | AT erdalkarapınar resultsiniwtidistanceoveribimetricspaces AT cristianchifu resultsiniwtidistanceoveribimetricspaces |