Estimating fixed points of non-expansive mappings with an application. (English) Zbl 1508.47122
Summary: 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 a second order differential equation.
MSC:
| 47J26 | Fixed-point iterations |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
fixed points; nonexpansive mappings; iterative schemes; uniformly convex Banach space; second order ordinary differential equationReferences:
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