Article
2021
·
2 citations
Estimating fixed points of non-expansive mappings with an application
Abstract
In this paper, we study a three step iterative scheme to estimate fixed points of non-expansive mappings in the framework of Banach spaces. Further, some convergence results are proved for such mappings. A nontrivial numerical example is presented to verify our assertions and main results. Finally, we approximate the solution of a boundary value problem of second order differential equation.
Keywords
fixed points
non-expansive mappings
iterative schemes
uniformly convex Banach space
second order ordinary differential equation
NONEXPANSIVE-MAPPINGS
ITERATIVE SCHEME
WEAK-CONVERGENCE
THEOREMS
WoS Categories
Mathematics, Applied
Mathematics
Citation
- Journal
- AIMS MATHEMATICS
- Year
- 2021
- Volume
- 6
- Issue
- 9
- Pages
- 9590-9601
- eISSN
- 2473-6988
- DOI
- 10.3934/math.2021558
- WoS UID
- WOS:000683418700006