Research Article
BibTex RIS Cite
Year 2021, , 221 - 225, 30.06.2021
https://doi.org/10.47000/tjmcs.884526

Abstract

References

  • [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] Banach, S., Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fund. Math., 2(1922), 133–181.
  • [3] Chatterjea, S.K., Fixed point theorems, C. R. Acad. Bulgare Sci., 25(6)(1972), 727–730.
  • [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] Kannan, R., Some results on fixed points, Bull. Calc. Math. Soc., 60(1)(1968), 71–77.
  • [6] Mustafa, Z., Sims, B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2)(2006), 289–297.
  • [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] Sedghi, S., Shobe, N, Zhou, H., A common fixed point theorem in D*-metric spaces, Fixed Point Theory Appl., Article Number:27906(2007).
  • [9] Zamfirescu, T., Fix point theorems in metric spaces, Arch. Math., 23(1972), 292–298.

Fixed Point Results for Zamfirescu Mappings in A-metric Spaces

Year 2021, , 221 - 225, 30.06.2021
https://doi.org/10.47000/tjmcs.884526

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.

References

  • [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] Banach, S., Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fund. Math., 2(1922), 133–181.
  • [3] Chatterjea, S.K., Fixed point theorems, C. R. Acad. Bulgare Sci., 25(6)(1972), 727–730.
  • [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] Kannan, R., Some results on fixed points, Bull. Calc. Math. Soc., 60(1)(1968), 71–77.
  • [6] Mustafa, Z., Sims, B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2)(2006), 289–297.
  • [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] Sedghi, S., Shobe, N, Zhou, H., A common fixed point theorem in D*-metric spaces, Fixed Point Theory Appl., Article Number:27906(2007).
  • [9] Zamfirescu, T., Fix point theorems in metric spaces, Arch. Math., 23(1972), 292–298.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

İsa Yildirim 0000-0001-6165-716X

Publication Date June 30, 2021
Published in Issue Year 2021

Cite

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