𝛼 −Contraction Conditions on Fuzzy Metric Spaces and
Fixed Points

Rizwana Jamal

doi:https://doi.org/10.14445/22315373/IJMTT-V68I6P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 6 | Year 2022 | Article Id. IJMTT-V68I6P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I6P511

𝛼 −Contraction Conditions on Fuzzy Metric Spaces and Fixed Points

Rizwana Jamal

Received	Revised	Accepted	Published
11 Apr 2022	04 Jun 2022	09 Jun 2022	26 Jun 2022

Abstract

In this paper, we using (𝛼) −contraction fuctions in complete fuzzy metric space and establish sequential characterization properties of fuzzy metric space. We prove the existence of common fixed point theorems for (𝛼) −contractions mapping in fuzzy metric space using the property of Lebesgue fuzzy metric space and give a few models on the side of our outcomes.

Keywords

- Fuzzy metric space, Contraction mapping, Fixed point, Lebesgue property, (𝛼) −contraction functions.

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Citation :

Rizwana Jamal, "𝛼 −Contraction Conditions on Fuzzy Metric Spaces and Fixed Points," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 6, pp. 101-104, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P511