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Date Published: 14/04/2022
Online Published: 14/04/2022
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DOI: https://doi.org/10.52714/dthu.11.2.2022.932
Issue
Vol. 11 No. 2 (2022): Natural Sciences Issue (Vietnamese)
Section
Natural Sciences Issue (Vietnamese)
How to Cite
Nguyen, V. D., & Nguyen, T. T. L. (2022). The generalized ciric contraction condition in b-metric spaces. Dong Thap University Journal of Science, 11(2), 3-12. https://doi.org/10.52714/dthu.11.2.2022.932

The generalized ciric contraction condition in b-metric spaces

Van Dung Nguyen1, , Thi Truc Linh Nguyen2
1 Faculty of Mathematics - Informatics Teacher Education, Dong Thap University, Vietnam
2 Student, Faculty of Mathematics - Informatics Teacher Education, Dong Thap University, Vietnam

Main Article Content

Abstract

In this paper, we extend the Ciric type condition in b-metric spaces (Lu et al., 2019) by adding four terms ρ(T2x,x), ρ(T2x,Tx), ρ(T2x,y), ρ(T2x,Ty), to become ρ(Tx,Ty) < λ max{ρ(x,y), ρ(x,Tx), ρ(y,Ty), ρ(x,Ty), ρ(Tx,y), ρ(T2x, x), ρ(T2x, Tx), ρ(T2x, y ), ρ(T2x, Ty)} where W is the b-metric space, T : W → W và x, y∈ W

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Creative Commons License

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

Keywords

Fixed point, b-metric space, generalized Ciric type contraction, Fatou property

References

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