Research Article

Interpolative $KMK$-Type Fixed-Figure Results

Volume: 11 Number: 3 September 2, 2023
EN

Interpolative $KMK$-Type Fixed-Figure Results

Abstract

Fixed-figure problem has been introduced a generalization of fixed circle problem an investigated a geometric generalization of fixed point theory. In this sense, we prove new fixed-figure results with some illustrative examples on metric spaces. For this purpose, we use $KMK$-type contractions, that is, Kannan type and Meir-Keeler type contractions.

Keywords

Fixed figure, $KMK$-type contraction, metric space

References

  1. [1] Özgür, N. Y., Ta¸s, N.: Some fixed-circle theorems on metric spaces. Bulletin of the Malaysian Mathematical Sciences Society. 42 (4), 1433-1449 (2019).
  2. [2] Kaplan, E., Mlaiki, N., Ta¸s, N., Haque, S., Souayah, A. K.: Some fixed-circle results with different auxiliary functions. Journal of Function Spaces. 2022, 2775733 (2022).
  3. [3] Mlaiki, N., Özgür, N., Ta¸s, N.: New fixed-circle results related to Fc-contractive and Fc-expanding mappings on metric spaces. Preprint arxiv:2101.10770 (2021).
  4. [4] Özgür, N. Y., Ta¸s, N.: Some fixed-circle theorems and discontinuity at fixed circle. AIP Conference Proceedings. 1926, 020048 (2018).
  5. [5] Özgür, N.: Fixed-disc results via simulation functions. Turkish Journal of Mathematics. 43 (6), 2794-2805 (2019).
  6. [6] Pant, R. P., Özgür, N. Y., Ta¸s, N.: Discontinuity at fixed points with applications. Bulletin of the Belgian Mathematical Society - Simon Stevin. 26, 571-589 (2019).
  7. [7] Pant, R. P., Özgür, N. Y., Ta¸s, N.: On discontinuity problem at fixed point. Bulletin of the Malaysian Mathematical Sciences Society. 43, 499-517 (2020).
  8. [8] Pant, R. P., Özgür, N., Ta¸s, N., Pant, A., Joshi, M. C.: New results on discontinuity at fixed point. Journal of Fixed Point Theory and Applications. 22, 39 (2020).
  9. [9] Ta¸s, N.: Bilateral-type solutions to the fixed-circle problem with rectified linear units application. Turkish Journal of Mathematics. 44 (4), 1330-1344 (2020).
  10. [10] Özgür, N., Ta¸s, N.: Geometric properties of fixed points and simulation functions. Preprint arxiv:2102.05417 (2021).
APA
Taş, N. (2023). Interpolative $KMK$-Type Fixed-Figure Results. Mathematical Sciences and Applications E-Notes, 11(3), 129-137. https://doi.org/10.36753/mathenot.1141344
AMA
1.Taş N. Interpolative $KMK$-Type Fixed-Figure Results. Math. Sci. Appl. E-Notes. 2023;11(3):129-137. doi:10.36753/mathenot.1141344
Chicago
Taş, Nihal. 2023. “Interpolative $KMK$-Type Fixed-Figure Results”. Mathematical Sciences and Applications E-Notes 11 (3): 129-37. https://doi.org/10.36753/mathenot.1141344.
EndNote
Taş N (September 1, 2023) Interpolative $KMK$-Type Fixed-Figure Results. Mathematical Sciences and Applications E-Notes 11 3 129–137.
IEEE
[1]N. Taş, “Interpolative $KMK$-Type Fixed-Figure Results”, Math. Sci. Appl. E-Notes, vol. 11, no. 3, pp. 129–137, Sept. 2023, doi: 10.36753/mathenot.1141344.
ISNAD
Taş, Nihal. “Interpolative $KMK$-Type Fixed-Figure Results”. Mathematical Sciences and Applications E-Notes 11/3 (September 1, 2023): 129-137. https://doi.org/10.36753/mathenot.1141344.
JAMA
1.Taş N. Interpolative $KMK$-Type Fixed-Figure Results. Math. Sci. Appl. E-Notes. 2023;11:129–137.
MLA
Taş, Nihal. “Interpolative $KMK$-Type Fixed-Figure Results”. Mathematical Sciences and Applications E-Notes, vol. 11, no. 3, Sept. 2023, pp. 129-37, doi:10.36753/mathenot.1141344.
Vancouver
1.Nihal Taş. Interpolative $KMK$-Type Fixed-Figure Results. Math. Sci. Appl. E-Notes. 2023 Sep. 1;11(3):129-37. doi:10.36753/mathenot.1141344