Abstract
We prove some convergence theorems for a Krasnoselskij type fixed point iterative method constructed as the admissible perturbation of a nonlinear φ-pseudocontractive operator defined on a convex and closed subset of a Hilbert space. These new results extend and unify several related results in the current literature established for contractions, strongly pseudocontractive operators and generalized pseudocontractions.
| Original language | English |
|---|---|
| Pages (from-to) | 27-37 |
| Number of pages | 11 |
| Journal | Miskolc Mathematical Notes |
| Volume | 15 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2014 |
Keywords
- Admissible perturbation
- Contraction
- Convergence theorem
- Fixed point iteration
- Generalized pseudocontraction
- Hilbert space
- Strong pseudocontraction
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Numerical Analysis
- Discrete Mathematics and Combinatorics
- Control and Optimization