Mappings of accretive and pseudo-A-proper type
β Scribed by J.R.L Webb
- Book ID
- 107800799
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 298 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
AbstraetmThe main purpose of this paper is to introduce and study a new perturbed iteration method for multivalued mappings. Some strong convergence theorems of perturbed iteration sequences for multivalued pseudo-contractive mappings and strongly accretive mappings are obtained.
In this note, we speed up the convergence of the Picard sequence of iterations for strongly accretive and strongly pseudo-contractive mappings. Our results improve the results of Chidume [C.E. Chidume, Picard iteration for strongly accretive and strongly pseudo-contractive Lipschitz maps, ICTP Prepr
Let K be a nonempty closed convex subset of a real Banach space E. Let T : K β K be a generalized Lipschitz pseudo-contractive mapping such that F(T ) := {x β K : T x = x} = β . Let {Ξ± n } nβ₯1 , {Ξ» n } nβ₯1 and {ΞΈ n } nβ₯1 be real sequences in (0, 1) such that Ξ± n = o(ΞΈ n ), lim nββ Ξ» n = 0 and Ξ» n (Ξ±