Abstract. Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this paper, we introduce an iteration scheme with errors in the sense of Xu (1998) generated by {Tj: C → C}rj=1 as follows: Un(j) = an(j)I+bn(j)Tnj Un(j−1)+cn(j)un(j), j = 1,2,...,r, x1 ∈ C, xn+1 = an(r)xn+bn(r)Tnr Un(r−1)xn+cn(r)un(r), n ≥ 1, where Un(0):= I, I the identity map; and {un(j)} are bounded sequences in C; and {an(j)}, {bn(j)}, and {cn(j)} are suitable sequences in [0,1]. We first consider the behaviour of iteration scheme above for a finite family of asymptotically nonexpansive mappings. Then we generalize theorems of Schu and Rhoades. 2000 Mathematics Subject Classification. 47H10. 1. Introduction. Le
Let X be a real Banach space and K a nonempty closed convex subset of X. Let Ti:K→K (i=1,2,…,m) be m...
Let be a nonempty, closed, and convex subset of a real uniformly convex Banach space . Let and be...
AbstractLet E be a real Banach space, K a closed convex nonempty subset of E. Let T1,T2,…,Tm:K→K be ...
Abstract. Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this ...
Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this paper, we ...
summary:In this paper, weak and strong convergence of finite step iteration sequences to a common fi...
Abstract. Let E be a uniformly convex Banach space which satisfies Opial’s condition or its dual E ∗...
Let E be a real Banach space, and K a closed convex nonempty subset of E. Let T1,T2,…,Tm:K→K be m to...
AbstractSuppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E,...
In this paper we define a new implicit iterative process with errors in a real Banach space and esta...
We unify all known iterative methods by introducing a new explicit iterative scheme for approximatio...
summary:In this paper, weak and strong convergence of finite step iteration sequences to a common fi...
Let E be a real Banach space, and K a closed convex nonempty subset of E. Let T1, T2,..., Tm: K → K ...
summary:In this paper, weak and strong convergence of finite step iteration sequences to a common fi...
Let X be a real Banach space and K a nonempty closed convex subset of X. Let T i: K → K (i = 1, 2,.,...
Let X be a real Banach space and K a nonempty closed convex subset of X. Let Ti:K→K (i=1,2,…,m) be m...
Let be a nonempty, closed, and convex subset of a real uniformly convex Banach space . Let and be...
AbstractLet E be a real Banach space, K a closed convex nonempty subset of E. Let T1,T2,…,Tm:K→K be ...
Abstract. Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this ...
Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this paper, we ...
summary:In this paper, weak and strong convergence of finite step iteration sequences to a common fi...
Abstract. Let E be a uniformly convex Banach space which satisfies Opial’s condition or its dual E ∗...
Let E be a real Banach space, and K a closed convex nonempty subset of E. Let T1,T2,…,Tm:K→K be m to...
AbstractSuppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E,...
In this paper we define a new implicit iterative process with errors in a real Banach space and esta...
We unify all known iterative methods by introducing a new explicit iterative scheme for approximatio...
summary:In this paper, weak and strong convergence of finite step iteration sequences to a common fi...
Let E be a real Banach space, and K a closed convex nonempty subset of E. Let T1, T2,..., Tm: K → K ...
summary:In this paper, weak and strong convergence of finite step iteration sequences to a common fi...
Let X be a real Banach space and K a nonempty closed convex subset of X. Let T i: K → K (i = 1, 2,.,...
Let X be a real Banach space and K a nonempty closed convex subset of X. Let Ti:K→K (i=1,2,…,m) be m...
Let be a nonempty, closed, and convex subset of a real uniformly convex Banach space . Let and be...
AbstractLet E be a real Banach space, K a closed convex nonempty subset of E. Let T1,T2,…,Tm:K→K be ...