Fixed Point Theorems in Fuzzy Soft Rectangular b- Metric Space

Authors

  • Mathematics Department, college of education, Mustansiriyah University, Baghdad, Iraq
  • Mathematics Department, college of education, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.32792/jeps.v13i2.301

Abstract

In this study, we construct the fuzzy soft rectangular b-metric space first, and then define the fuzzy soft
convergence sequence, also known as the fuzzy soft Cauchy sequence, in this space. In addition, we
defined fuzzy soft contraction mapping and proved its fixed point in fuzzy soft rectangular b-metric
space.

References

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D. Molodtsov, “Soft set theory—first results,” Comput. Math. with Appl., vol. 37, no. 4–5, pp. 19–

, 1999.

K. Jain and J. Kaur, “Some fixed point results in b-metric spaces and b-metric-like spaces with

new contractive mappings,” Axioms, vol. 10, no. 2, p. 55, 2021.

S. Czerwik, “Contraction mappings in $ b $-metric spaces,” Acta Math. Inform. Univ. Ostrav., vol.

, no. 1, pp. 5–11, 1993.

A. Branciari, “A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric

spaces,” 2000.

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Published

2023-07-13

Issue

Vol. 13 No. 2 (2023): Journal of Education for Pure Science- University of Thi-Qar

Section

Articles

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