Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-3333

Keywords:

Fuzzy metric space, Bγ,µ condition, Convexity, Fixed point

Abstract

In this paper we prove some fixed point theorems in fuzzy metric spaces for a class of generalized nonexpansive mappings satisfying Bγ,µ condition. We introduce a type of convexity in fuzzy metric spaces with respect to an altering distance function and prove convergence results for some iteration schemes to the fixed point. The results are supported by suitable examples.

Author Biographies

Nilakshi Goswami, Gauhati University.

Dept. of Mathematics.

Bijoy Patir, Gauhati University.

Dept. of Mathematics.

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Published

2021-04-19 — Updated on 2021-07-26

How to Cite

[1]
N. Goswami and B. Patir, “Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition”, Proyecciones (Antofagasta, On line), vol. 40, no. 4, pp. 837-857, Jul. 2021.

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