Applications of different types of Khan contractions in Convex \(b\)-metric spaces

Volume 38, Issue 4, pp 417--429 https://dx.doi.org/10.22436/jmcs.038.04.01
Publication Date: January 12, 2025 Submission Date: November 05, 2024 Revision Date: November 18, 2024 Accteptance Date: December 13, 2024

Authors

G. M. Abd-Elhamed - Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia. - Department of Mathematics, College of Girls, Ain Shams University, Egypt. A. A. Azzam - Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia. - Department of Mathematics, Faculty of science, New Valley University, Elkharga 72511, Egypt.


Abstract

In this article, we present fixed-point theorems for different types of Khan contractions in convex b-metric spaces using the Manns iteration scheme. To illustrate our results, we give appropriate examples; we also apply our results to approach the solution of the mixed Volterra-Fredholm integral equation.


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ISRP Style

G. M. Abd-Elhamed, A. A. Azzam, Applications of different types of Khan contractions in Convex \(b\)-metric spaces, Journal of Mathematics and Computer Science, 38 (2025), no. 4, 417--429

AMA Style

Abd-Elhamed G. M., Azzam A. A., Applications of different types of Khan contractions in Convex \(b\)-metric spaces. J Math Comput SCI-JM. (2025); 38(4):417--429

Chicago/Turabian Style

Abd-Elhamed, G. M., Azzam, A. A.. "Applications of different types of Khan contractions in Convex \(b\)-metric spaces." Journal of Mathematics and Computer Science, 38, no. 4 (2025): 417--429


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