Vol. 22 No. 1 (2023): Mapana Journal of Sciences
Research Articles

Fixed Point Theorem for Fuzzy B-type Contractions in Fuzzy Metric Spaces

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  • Vizender Singh,
  • Bijender Singh,
  • Anil Ahlawat
Vizender Singh
Guru Jambheshwar University of Science and Technology, Haryana.
Bio
Bijender Singh
Guru Jambheshwar University of Science and Technology, Haryana.
Bio
Anil Ahlawat
Guru Jambheshwar University of Science and Technology, Haryana.
Bio
DOI: https://doi.org/10.12723/mjs.64.1

Published 2022-10-01

Keywords

  • Fuzzy Metric Space,
  • Fixed Point,
  • Complete Metric Space,
  • Fuzzy B-Contraction

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Abstract

Recently, in 2021, Bijender et al. proposed the establishment of  -contraction. Such sort of contraction is a genuine generalization of the standard contraction in the study of metric fixed point theory. The aim of the present study is the establishment of the novel concept of the fuzzy B-type contraction in the settings of fuzzy metric space and such contractions are also used to establish a few fixed point theorems.

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