Abstract
We establish convergence of a Krasnoselskij type fixed point iterative method constructed as the admissible perturbation of a nonlinear Lipschitzian and generalized pseudocontractive operator defined on a convex closed subset of a Hilbert space. Both a prioxi and a posteriori error estimates are obtained for the new algorithm. Our convergence theorem extends and unifies several related results in the current literature.
| Original language | English |
|---|---|
| Pages (from-to) | 563-572 |
| Number of pages | 10 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 16 |
| Issue number | 3 |
| State | Published - 2015 |
Bibliographical note
Publisher Copyright:© 2015.
Keywords
- Admissible perturbation
- Affine lipschitzian operator
- Convergence theorem
- Fixed point
- Generalized pseudocontractive operator
- Hilbert space
- Krasnoselskij algorithm
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics