Some Modified Fixed Point Results in V-Fuzzy Metric Spaces
The present research paper focuses on the existence of fixed point in V-fuzzy metric space. The presentation of V-fuzzy metric space in n-tuple encourages us to define different mapping in the symmetric V-fuzzy metric space. Here, the properties of fuzzy metric space are extended to V-fuzzy metric s...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2019/6923937 |
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| author | Vishal Gupta Manu Verma Mohammad Saeed Khan |
| author_facet | Vishal Gupta Manu Verma Mohammad Saeed Khan |
| author_sort | Vishal Gupta |
| collection | DOAJ |
| description | The present research paper focuses on the existence of fixed point in V-fuzzy metric space. The presentation of V-fuzzy metric space in n-tuple encourages us to define different mapping in the symmetric V-fuzzy metric space. Here, the properties of fuzzy metric space are extended to V-fuzzy metric space. The introduction of notion for pair of mappings (f,g) on V-fuzzy metric space called V-weakly commuting of type Vf and V-R weakly commuting of type Vf is given. This proved fixed point theorem in V-fuzzy metric space employing the effectiveness of E.A. property and CLRg property. For the justification of the results, some examples are illustrated. |
| format | Article |
| id | doaj-art-84345f9a84fb47b883009244c862d0b9 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-84345f9a84fb47b883009244c862d0b92025-02-03T06:01:28ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2019-01-01201910.1155/2019/69239376923937Some Modified Fixed Point Results in V-Fuzzy Metric SpacesVishal Gupta0Manu Verma1Mohammad Saeed Khan2Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, IndiaDepartment of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, IndiaDepartment of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khoud 123, Muscat, OmanThe present research paper focuses on the existence of fixed point in V-fuzzy metric space. The presentation of V-fuzzy metric space in n-tuple encourages us to define different mapping in the symmetric V-fuzzy metric space. Here, the properties of fuzzy metric space are extended to V-fuzzy metric space. The introduction of notion for pair of mappings (f,g) on V-fuzzy metric space called V-weakly commuting of type Vf and V-R weakly commuting of type Vf is given. This proved fixed point theorem in V-fuzzy metric space employing the effectiveness of E.A. property and CLRg property. For the justification of the results, some examples are illustrated.http://dx.doi.org/10.1155/2019/6923937 |
| spellingShingle | Vishal Gupta Manu Verma Mohammad Saeed Khan Some Modified Fixed Point Results in V-Fuzzy Metric Spaces Advances in Fuzzy Systems |
| title | Some Modified Fixed Point Results in V-Fuzzy Metric Spaces |
| title_full | Some Modified Fixed Point Results in V-Fuzzy Metric Spaces |
| title_fullStr | Some Modified Fixed Point Results in V-Fuzzy Metric Spaces |
| title_full_unstemmed | Some Modified Fixed Point Results in V-Fuzzy Metric Spaces |
| title_short | Some Modified Fixed Point Results in V-Fuzzy Metric Spaces |
| title_sort | some modified fixed point results in v fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2019/6923937 |
| work_keys_str_mv | AT vishalgupta somemodifiedfixedpointresultsinvfuzzymetricspaces AT manuverma somemodifiedfixedpointresultsinvfuzzymetricspaces AT mohammadsaeedkhan somemodifiedfixedpointresultsinvfuzzymetricspaces |