### 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 |
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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

*Advances in Fuzzy Systems*,

*2019*, [6923937]. https://doi.org/10.1155/2019/6923937

**Some Modified Fixed Point Results in v -Fuzzy Metric Spaces.** / Gupta, Vishal; Verma, Manu; Khan, Mohammad.

Research output: Contribution to journal › Article

*Advances in Fuzzy Systems*, vol. 2019, 6923937. https://doi.org/10.1155/2019/6923937

}

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 -