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

Authors

  • Vizender Singh Guru Jambheshwar University of Science and Technology, Haryana.
  • Bijender Singh Guru Jambheshwar University of Science and Technology, Haryana.
  • Anil Ahlawat Guru Jambheshwar University of Science and Technology, Haryana.

Keywords:

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

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.

Author Biographies

Vizender Singh, Guru Jambheshwar University of Science and Technology, Haryana.

Department of Mathematics, Directorate of Distance Education, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, India.

Bijender Singh, Guru Jambheshwar University of Science and Technology, Haryana.

Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, India.

Anil Ahlawat, Guru Jambheshwar University of Science and Technology, Haryana.

Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, India.

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Published

2022-10-01

Issue

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

Section

Research Articles

License

Copyright (c) 2022 Vizender Singh, Bijender Singh, Anil Ahlawat

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.