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Fixed point theorems for enriched Kannan-type mappings and application.
- Source :
- AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 8, p21580-21595, 16p
- Publication Year :
- 2024
-
Abstract
- The aim of this paper is to establish some fixed point results for enriched Kannan-type mappings in convex metric spaces. We first give an affirmative answer to a recent Berinde and Păcurar's question (Remark 2.3) [J. Comput. Appl. Math., 386 (2021), 113217]. Furthermore, we establish the existence and uniqueness of fixed points for Suzuki-enriched Kannan-type mappings in the setting of convex metric spaces. Finally, we present an application to approximate the solution of the Volterra integral equations to support our results. [ABSTRACT FROM AUTHOR]
- Subjects :
- VOLTERRA equations
METRIC spaces
CONVEX sets
MATHEMATICS
FIXED point theory
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 178904327
- Full Text :
- https://doi.org/10.3934/math.20241048