Research Article

Some fixed point theorems on complex valued modular metric spaces with an application

Volume: 70 Number: 2 December 31, 2021
EN

Some fixed point theorems on complex valued modular metric spaces with an application

Abstract

In this article, we introduce the notion of complex valued modular metric spaces. We also a prove generalization of Banach Fixed Point Theorem, which is one of the most simple and significant tests for existence and uniqueness of solution of problems arising in mathematics and engineering for complex valued modular metric spaces. In addition, we express some results related to these spaces. Finally, we give an application of our results to digital programming.

Keywords

References

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  2. Ahmad, J., Klin-eam, C., Azam, A., Common fixed points for multi-valued mappings in complex valued metric spaces with applications, Abstract and applied analysis, 2013 (2013), Article ID 854965, 12 pages. https://doi.org/10.1155/2013/854965.
  3. Alaca, C., Ege, M.E., Park, C., Fixed point results for modular ultrametric spaces, Journal of Computational Analysis and Applications, 20(7) (2016), 1259-1267.
  4. Ansari, A. H., Ege, Ö., Radenovi´c, S., Some fixed point results on complex valued Gb-metric spaces, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 112 (4), (2017), doi: 10.1007/s13398-017-0391-x.
  5. Asadi, M., Moeini, B., Mukheimer, A., Aydi, H., Complex valued M-metric spaces and related fixed point results via complex C-class function, Journal of Inequalities and Special Functions, 10(1) (2019), 101-110.
  6. Azam, A., Fisher B., Khan, M., Common fixed point theorems in complex valued metric spaces, Numerical Functional Analysis and Optimization, 32(3) (2011), 243-253. https://doi.org/10.1080/01630563.2011.533046.
  7. Azam, A., Ahmad, J., Kumam, P., Common fixed point theorems for multi-valued mappings in complex-valued metric spaces, Journal of Inequalities and Applications, 2013, 2013:578.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2021

Submission Date

April 27, 2020

Acceptance Date

March 8, 2021

Published in Issue

Year 2021 Volume: 70 Number: 2

APA
Özkan, K., Gürdal, U., & Mutlu, A. (2021). Some fixed point theorems on complex valued modular metric spaces with an application. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(2), 690-701. https://doi.org/10.31801/cfsuasmas.727771
AMA
1.Özkan K, Gürdal U, Mutlu A. Some fixed point theorems on complex valued modular metric spaces with an application. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(2):690-701. doi:10.31801/cfsuasmas.727771
Chicago
Özkan, Kübra, Utku Gürdal, and Ali Mutlu. 2021. “Some Fixed Point Theorems on Complex Valued Modular Metric Spaces With an Application”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (2): 690-701. https://doi.org/10.31801/cfsuasmas.727771.
EndNote
Özkan K, Gürdal U, Mutlu A (December 1, 2021) Some fixed point theorems on complex valued modular metric spaces with an application. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 2 690–701.
IEEE
[1]K. Özkan, U. Gürdal, and A. Mutlu, “Some fixed point theorems on complex valued modular metric spaces with an application”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 2, pp. 690–701, Dec. 2021, doi: 10.31801/cfsuasmas.727771.
ISNAD
Özkan, Kübra - Gürdal, Utku - Mutlu, Ali. “Some Fixed Point Theorems on Complex Valued Modular Metric Spaces With an Application”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/2 (December 1, 2021): 690-701. https://doi.org/10.31801/cfsuasmas.727771.
JAMA
1.Özkan K, Gürdal U, Mutlu A. Some fixed point theorems on complex valued modular metric spaces with an application. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:690–701.
MLA
Özkan, Kübra, et al. “Some Fixed Point Theorems on Complex Valued Modular Metric Spaces With an Application”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 2, Dec. 2021, pp. 690-01, doi:10.31801/cfsuasmas.727771.
Vancouver
1.Kübra Özkan, Utku Gürdal, Ali Mutlu. Some fixed point theorems on complex valued modular metric spaces with an application. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Dec. 1;70(2):690-701. doi:10.31801/cfsuasmas.727771

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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