Vol. 21 No. 1 (2022): Mapana Journal of Sciences
Research Articles

Fixed Point Theorem for Ɓ-type Contraction in Partial Metric Spaces

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  • Bijender Singh,
  • Vizender Sihag,
  • Anil Ahlawat
Bijender Singh
Guru Jambheshwar University of Science and Technology, Haryana.
Bio
Vizender Sihag
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.60.3

Published 2022-07-28

Keywords

  • B-contraction,
  • Contraction mappings,
  • fixed point,
  • common fixed point,
  • complete metric space

Copyright (c) 2022

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Abstract

The objective of this work is to study Ɓ-types of contraction mappings in the settings of partial metric space and establish fixed point results. As a result, a fixed point theorem has been established for a pair of Ɓ-type contraction mappings with a unique common fixed point. The study's main findings, in particular, expand and extend a fixed point theorem first proposed by Bijender et. al. in 2021.

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References

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