We show strong and weak convergence for Mann iteration of multivalued nonexpansive
map**s T in a Banach space. Furthermore, we give a strong convergence of the modified …

This article briefly surveys some recent progress in the investigation of Halpern's iterative
algorithm for approximating fixed points of nonexpansive map**s. An implicit iterative …

Let K be a nonempty closed convex subset of a reflexive and strictly convex Banach space E
with a uniformly Gâteaux differentiable norm, and F={T (t): t> 0} a nonexpansive self …

The main aim of this paper is to study the strong convergence of Halpern iteration for firmly
type nonexpansive map**s defined on a Banach space with a uniformly Gâteaux …

For $ p\geq 2$, let $ E $ be a $2 $ uniformly smooth and $ p $ uniformly convex real Banach
spaces and let a map** $\displaystyle\Phi: E\to E^{*} $ be Lipschitz, and strongly …

Let K be a nonempty closed and convex subset of a real Banach space E. Let T: K→ E be a
nonexpansive weakly inward map** with F (T)≠∅ and f: K→ K be a contraction. Then for …

Let K be a closed convex subset of a Banach space E and let T: K→ E be a continuous
weakly inward pseudocontractive map**. Then for t∈(0, 1), there exists a sequence {yt}⊂ …

The aim of this work is to give a new sufficient condition of the strong convergence of the
Halpern type iteration for a non-expansive self-map** defined on a Banach space with a …

We discuss the following viscosity approximations with the weak contraction for a non-
expansive map** sequence,,. We prove that Browder's and Halpern's type convergence …

Let E be a real strictly convex and reflexive Banach space with a uniformly Gâteaux
differentiable norm and C be a nonempty closed convex subset of E. Consider the iterative …