A NEW GENERALIZATION OF $ \mathcal{F} $-METRIC SPACES AND SOME FIXED POINT THEOREMS AND AN APPLICATION

Chuanxi Zhu; Jing Chen; Jianhua Chen; Chunfang Chen; Huaping Huang

doi:10.11948/20210244

2021 Volume 11 Issue 5

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Chuanxi Zhu, Jing Chen, Jianhua Chen, Chunfang Chen, Huaping Huang. A NEW GENERALIZATION OF $ \mathcal{F} $-METRIC SPACES AND SOME FIXED POINT THEOREMS AND AN APPLICATION[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2649-2663. doi: 10.11948/20210244

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Chuanxi Zhu, Jing Chen, Jianhua Chen, Chunfang Chen, Huaping Huang. A NEW GENERALIZATION OF $ \mathcal{F} $-METRIC SPACES AND SOME FIXED POINT THEOREMS AND AN APPLICATION[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2649-2663. doi: 10.11948/20210244

A NEW GENERALIZATION OF $ \mathcal{F} $-METRIC SPACES AND SOME FIXED POINT THEOREMS AND AN APPLICATION

1.
Department of Mathematics, Nanchang University, 330031 Nanchang, China
2.
School of Computer and Information Technology, Jiangxi Agricultural University, 330045 Nanchang, China
3.
School of Mathematics and Statistics, Chongqing Three Gorges University, 404020 Wanzhou, China

Corresponding authors: Email: chuanxizhu@126.com (C. Zhu); Email: chenjing@jxau.edu.cn(J. Chen)
Fund Project: The authors were supported by National Natural Science Foundation of China (11771198, 11661053) and Science and Technology Program of Department of Education of Jiangxi Province (GJJ190183)

Abstract

Abstract

In this paper, we extend $ \mathcal{F} $-metric spaces to more general spaces, named generalized $ \mathcal{F} $-metric spaces and establish some fixed point theorems via comparison function, $ F $-contraction, Geraghty contraction and JS-contraction in the setting of generalized $ \mathcal{F} $-metric spaces. Our results generalize many present theorems.
- $ \mathcal{F} $-metric space /
- fixed point /
- Geraghty contraction /
- F-contraction
MSC: 47H10, 54H25

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References

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