Abstract
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.
| Original language | English |
|---|---|
| Article number | 6923937 |
| Journal | Advances in Fuzzy Systems |
| Volume | 2019 |
| DOIs | |
| Publication status | Published - Jan 1 2019 |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization
- Computational Mathematics
Cite this
Some Modified Fixed Point Results in v -Fuzzy Metric Spaces. / Gupta, Vishal; Verma, Manu; Khan, Mohammad.
In: Advances in Fuzzy Systems, Vol. 2019, 6923937, 01.01.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Some Modified Fixed Point Results in v -Fuzzy Metric Spaces
AU - Gupta, Vishal
AU - Verma, Manu
AU - Khan, Mohammad
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
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U2 - 10.1155/2019/6923937
DO - 10.1155/2019/6923937
M3 - Article
VL - 2019
JO - Advances in Fuzzy Systems
JF - Advances in Fuzzy Systems
SN - 1687-7101
M1 - 6923937
ER -