Research Article

Fixed Point Results for Zamfirescu Mappings in A-metric Spaces

Volume: 13 Number: 1 June 30, 2021
EN

Fixed Point Results for Zamfirescu Mappings in A-metric Spaces

Abstract

In the present paper, we extend the Zamfirescu results [9] to $A$-metric spaces. Firstly, we define the notion of Zamfirescu mapping in $A$-metric spaces. After, we also obtain a fixed point theorem for such mappings. The established results carry some well-known results from the literature (see [2,3,5,9]) to $A$-metric spaces. An appropriate example is also given.

Keywords

References

  1. [1] Abbas, M., Ali, B., Suleiman Y.I.,Generalized coupled common fixed point results in partially ordered A-metric spaces, Fixed Point Theory Appl., Article Number: 64(2015).
  2. [2] Banach, S., Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fund. Math., 2(1922), 133–181.
  3. [3] Chatterjea, S.K., Fixed point theorems, C. R. Acad. Bulgare Sci., 25(6)(1972), 727–730.
  4. [4] Fernandez, J., Saelee, S., Saxena, K., Malviya, N., Kumam, P., The A-cone metric space over Banach algebra with applications, Cogent Math., 4(1)(2017).
  5. [5] Kannan, R., Some results on fixed points, Bull. Calc. Math. Soc., 60(1)(1968), 71–77.
  6. [6] Mustafa, Z., Sims, B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2)(2006), 289–297.
  7. [7] Sedghi, S., Shobe, N., Aliouche, A., A generalization of fixed point theorems in S -metric spaces, Mat. Vesn., 64(3)(2012), 258–266.
  8. [8] Sedghi, S., Shobe, N, Zhou, H., A common fixed point theorem in D*-metric spaces, Fixed Point Theory Appl., Article Number:27906(2007).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

February 21, 2021

Acceptance Date

June 23, 2021

Published in Issue

Year 2021 Volume: 13 Number: 1

APA
Yildirim, İ. (2021). Fixed Point Results for Zamfirescu Mappings in A-metric Spaces. Turkish Journal of Mathematics and Computer Science, 13(1), 221-225. https://doi.org/10.47000/tjmcs.884526
AMA
1.Yildirim İ. Fixed Point Results for Zamfirescu Mappings in A-metric Spaces. TJMCS. 2021;13(1):221-225. doi:10.47000/tjmcs.884526
Chicago
Yildirim, İsa. 2021. “Fixed Point Results for Zamfirescu Mappings in A-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 13 (1): 221-25. https://doi.org/10.47000/tjmcs.884526.
EndNote
Yildirim İ (June 1, 2021) Fixed Point Results for Zamfirescu Mappings in A-metric Spaces. Turkish Journal of Mathematics and Computer Science 13 1 221–225.
IEEE
[1]İ. Yildirim, “Fixed Point Results for Zamfirescu Mappings in A-metric Spaces”, TJMCS, vol. 13, no. 1, pp. 221–225, June 2021, doi: 10.47000/tjmcs.884526.
ISNAD
Yildirim, İsa. “Fixed Point Results for Zamfirescu Mappings in A-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 13/1 (June 1, 2021): 221-225. https://doi.org/10.47000/tjmcs.884526.
JAMA
1.Yildirim İ. Fixed Point Results for Zamfirescu Mappings in A-metric Spaces. TJMCS. 2021;13:221–225.
MLA
Yildirim, İsa. “Fixed Point Results for Zamfirescu Mappings in A-Metric Spaces”. Turkish Journal of Mathematics and Computer Science, vol. 13, no. 1, June 2021, pp. 221-5, doi:10.47000/tjmcs.884526.
Vancouver
1.İsa Yildirim. Fixed Point Results for Zamfirescu Mappings in A-metric Spaces. TJMCS. 2021 Jun. 1;13(1):221-5. doi:10.47000/tjmcs.884526