In this paper, we introduce a new iterative method of a k-strictly pseudo-contractive mapping for some 0 โค k < 1 and prove that the sequence {x n } converges strongly to a fixed point of T , which solves a variational inequality related to the linear operator A. Our results have extended and improve
Strong convergence theorem for pseudo-contractive mappings in Hilbert spaces
โ Scribed by Yu-Chao Tang; Ji-Gen Peng; Li-Wei Liu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 213 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we first obtain a weak mean convergence theorem of Baillon's type for nonspreading mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem for nonspreading mappings in a Hilbert space.
## a b s t r a c t In this paper, strong convergence theorems are obtained by modified hybrid methods for Lipschitz quasi-pseudo-contractions in a Hilbert space. Besides, applications of these theorems are introduced. Finally, we use these methods to modify Ishikawa's iteration process and get some