Some Modified Fixed Point Results in v -Fuzzy Metric Spaces

Vishal Gupta; Manu Verma; Mohammad Khan

doi:10.1155/2019/6923937

Some Modified Fixed Point Results in v -Fuzzy Metric Spaces

Vishal Gupta^*, Manu Verma, Mohammad Khan

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1155/2019/6923937
Publication status	Published - 2019

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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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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Some Modified Fixed Point Results in v -Fuzzy Metric Spaces

Abstract

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