Existence fixed point in convex extended \(s\)-metric spaces with applications
Authors
Q. H. Alqifiary
- Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniya, Iraq.
C. Park
- Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Korea.
Abstract
In this paper, we introduce the definition of a convex extended \(s\)-metric space and establish the existence of fixed points for some contraction mappings in convex extended \(s\)-metric spaces. Additionally, we provide several examples to validate our findings. Furthermore, we apply the main results to approximate solutions of the Fredholm integral equation.
Share and Cite
ISRP Style
Q. H. Alqifiary, C. Park, Existence fixed point in convex extended \(s\)-metric spaces with applications, Journal of Nonlinear Sciences and Applications, 17 (2024), no. 3, 115--122
AMA Style
Alqifiary Q. H. , Park C., Existence fixed point in convex extended \(s\)-metric spaces with applications. J. Nonlinear Sci. Appl. (2024); 17(3):115--122
Chicago/Turabian Style
Alqifiary, Q. H. , Park, C.. "Existence fixed point in convex extended \(s\)-metric spaces with applications." Journal of Nonlinear Sciences and Applications, 17, no. 3 (2024): 115--122
Keywords
- Extended \(s\)-metric space
- convex structure
- convex extended \(s\)-metric space
- fixed point
- Fredholm integral equation
MSC
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