Research Article

On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces

Volume: 16 Number: 2 December 31, 2024
EN

On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces

Abstract

In this paper, we prove some new fixed point results for multi-valued mappings via extended wtdistance on complete extended b-metric spaces. We obtain a generalization of Feng and Liu [8] fixed point theorem on multi-valued operators. Moreover, we give a homotopy application to show the applicability of our results.

Keywords

References

  1. Adamo, M.S.S., Vetro, C., Fixed point and homotopy results for mixed multi-valued mappings in 0-complete partial metric spaces, Nonlinear Analysis: Modelling and Control, 20(2)(2015), 159–174.
  2. Alamgir, N., Kiran, Q., Aydi, H., Mukheimer, A., A Mizoguchi Takahashi type fixed point theorem in complete extended b-metric spaces, Mathematics, 7(2019), 478.
  3. Alqahtani, B., Fulga, A., Karapınar, E., Common fixed point results on an extended b-metric space, J. Inequal. Appl. 2018(2018), 158.
  4. Bakhtin, I.A., The contraction mapping principle in almost metric spaces, Func. Anal. Gos. Ped. Inst. Unianowsk, 30(1989), 26–37.
  5. Chifu, C., Common fixed point results in extended b-metric spaces endowed with a directed graph, Results Nonlinear Anal., 2(1)(2019), 18–24.
  6. Demma, M., Saadati R., Vetro P., Multi-valued operators with respect wt-distance on metric type spaces, Bull. Iranian Math. Soc., 42(6)(2016), 1571–82.
  7. Eroğlu, I., Some fixed point results for extended Ppθ -contractions via extended wt-distance and its applications, Creat. Math. Inform., 34(1)(2024), 11–21.
  8. Feng, Y., Liu, S., Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl., 371(1)(2006), 103–112.

Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Publication Date

December 31, 2024

Submission Date

March 13, 2024

Acceptance Date

October 25, 2024

Published in Issue

Year 2024 Volume: 16 Number: 2

APA
Eroğlu, İ. (2024). On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. Turkish Journal of Mathematics and Computer Science, 16(2), 426-437. https://doi.org/10.47000/tjmcs.1452547
AMA
1.Eroğlu İ. On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. TJMCS. 2024;16(2):426-437. doi:10.47000/tjmcs.1452547
Chicago
Eroğlu, İrem. 2024. “On Fixed Point Results for Some Multi-Valued Operators With Respect to Extended Wt-Distance on Extended B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 16 (2): 426-37. https://doi.org/10.47000/tjmcs.1452547.
EndNote
Eroğlu İ (December 1, 2024) On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. Turkish Journal of Mathematics and Computer Science 16 2 426–437.
IEEE
[1]İ. Eroğlu, “On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces”, TJMCS, vol. 16, no. 2, pp. 426–437, Dec. 2024, doi: 10.47000/tjmcs.1452547.
ISNAD
Eroğlu, İrem. “On Fixed Point Results for Some Multi-Valued Operators With Respect to Extended Wt-Distance on Extended B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 16/2 (December 1, 2024): 426-437. https://doi.org/10.47000/tjmcs.1452547.
JAMA
1.Eroğlu İ. On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. TJMCS. 2024;16:426–437.
MLA
Eroğlu, İrem. “On Fixed Point Results for Some Multi-Valued Operators With Respect to Extended Wt-Distance on Extended B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science, vol. 16, no. 2, Dec. 2024, pp. 426-37, doi:10.47000/tjmcs.1452547.
Vancouver
1.İrem Eroğlu. On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. TJMCS. 2024 Dec. 1;16(2):426-37. doi:10.47000/tjmcs.1452547