## 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
A hybrid algorithm for pseudo-contractive mappings
β Scribed by Yonghong Yao; Yeong-Cheng Liou; Giuseppe Marino
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 407 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let E be a real reflexive Banach space with uniformly GΓ’teaux differentiable norm. Let K be a nonempty bounded closed and convex subset of E. Let T : K β K be a strictly pseudo-contractive map and let L > 0 denote its Lipschitz constant. Assume F(T ) := {x β K : T x = x} = β and let z β F(T ). Fix Ξ΄
Let K be a nonempty closed convex subset of a Banach space E, T : K β K a continuous pseudo-contractive mapping. Suppose that {Ξ± n } is a real sequence in [0, 1] satisfying appropriate conditions; then for arbitrary x 0 β K , the Mann type implicit iteration process {x n } given by x n = Ξ± n x n-1 +