Research Article

Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space

Volume: 3 Number: 4 December 30, 2020
  • Shengquan Weng *
  • Xingyan Liu
  • Zengfu Chao
EN

Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space

Abstract

In recent years, the research of fixed point theorem is a hot topic all the time. In this paper, we proposed the notion of a new mapping, that is, a general LW-type Lipschitz cyclic mapping, in complete b-metric-like spaces. Then, we obtained the existence and uniqueness theorems of its fixed point. Moreover, we give some examples to illustrate the main results in this paper. . .

Keywords

References

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  2. [2] A.H. Amini, Metric-like spaces, partial metric spaces and fixed points. J. Fixed Point Theory Appl. 2012, Article ID204 (2012).
  3. [3] S. Czerwik, Contraction mappings in b-metric spaces. Acta Math. Inform. Univ. Ostrav. 1, 5-11 (1993).
  4. [4] Alghamdi et al.: Fixed point and coupled fixed point theorems on b-metric-like spaces. J. Ine. App. 2013, 2013(1):402.
  5. [5] S. Banach, Sur les operations dans les ensembles abstraits et leur applications aux equations integrales, Fundamenta Mathematicae,3(1922), 133-181.
  6. [6] M. Lei, D.P. Wu, Fixed Point Theorems Concerning New Type Cyclic Maps in Complete B-metric-like Spaces, J.Chengdu University Inf Tec. 1.32(2017):82-85.
  7. [7] Sh. Weng, Y. Zhang, D.P. Wu, Fixed Point Theorems of LW-Type Lipschitz Cyclic Mappings in Complete B-Metric-Like Spaces, Int.J.Res.Ind.Eng.Vol.7,No.2(2018)136-146.
  8. [8] S.Q. Weng, Some Fixed Point Results Involving a General LW-Type Cyclic Mapping in Complete B-Metric-Like Spaces, Int.J.Res.Ind.Eng.Vol.8,No.3(2019) 262-273.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Shengquan Weng * This is me
China

Xingyan Liu This is me
China

Zengfu Chao This is me
China

Publication Date

December 30, 2020

Submission Date

July 17, 2020

Acceptance Date

-

Published in Issue

Year 2020 Volume: 3 Number: 4

APA
Weng, S., Liu, X., & Chao, Z. (2020). Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. Results in Nonlinear Analysis, 3(4), 207-213. https://izlik.org/JA62UC54EF
AMA
1.Weng S, Liu X, Chao Z. Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. RNA. 2020;3(4):207-213. https://izlik.org/JA62UC54EF
Chicago
Weng, Shengquan, Xingyan Liu, and Zengfu Chao. 2020. “Some Fixed Point Theorems for Cyclic Mapping in a Complete B-Metric-Like Space”. Results in Nonlinear Analysis 3 (4): 207-13. https://izlik.org/JA62UC54EF.
EndNote
Weng S, Liu X, Chao Z (December 1, 2020) Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. Results in Nonlinear Analysis 3 4 207–213.
IEEE
[1]S. Weng, X. Liu, and Z. Chao, “Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space”, RNA, vol. 3, no. 4, pp. 207–213, Dec. 2020, [Online]. Available: https://izlik.org/JA62UC54EF
ISNAD
Weng, Shengquan - Liu, Xingyan - Chao, Zengfu. “Some Fixed Point Theorems for Cyclic Mapping in a Complete B-Metric-Like Space”. Results in Nonlinear Analysis 3/4 (December 1, 2020): 207-213. https://izlik.org/JA62UC54EF.
JAMA
1.Weng S, Liu X, Chao Z. Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. RNA. 2020;3:207–213.
MLA
Weng, Shengquan, et al. “Some Fixed Point Theorems for Cyclic Mapping in a Complete B-Metric-Like Space”. Results in Nonlinear Analysis, vol. 3, no. 4, Dec. 2020, pp. 207-13, https://izlik.org/JA62UC54EF.
Vancouver
1.Shengquan Weng, Xingyan Liu, Zengfu Chao. Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. RNA [Internet]. 2020 Dec. 1;3(4):207-13. Available from: https://izlik.org/JA62UC54EF