𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on “Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings”

✍ Scribed by Yongfu Su


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
228 KB
Volume
70
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Convergence of a Halpern-type iteration
✍ C.O. Chidume; G. De Souza 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 234 KB

Let E be a real reflexive Banach space with uniformly Gâteaux differentiable norm. Let K be a nonempty bounded closed and convex subset of E. Let T : K → K be a strictly pseudo-contractive map and let L > 0 denote its Lipschitz constant. Assume F(T ) := {x ∈ K : T x = x} = ∅ and let z ∈ F(T ). Fix δ

On a Mann type implicit iteration proces
✍ Yisheng Song 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 190 KB

Let K be a nonempty closed convex subset of a Banach space E, T : K → K a continuous pseudo-contractive mapping. Suppose that {α n } is a real sequence in [0, 1] satisfying appropriate conditions; then for arbitrary x 0 ∈ K , the Mann type implicit iteration process {x n } given by x n = α n x n-1 +

A note on the paper “A new iteration pro
✍ Yisheng Song 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 157 KB

In this note, we will modify several gaps in Chidume and Ofoedu [C.E. Chidume, E.U. Ofoedu, A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings, Nonlinear Anal. ( 2006), in press

Strong convergence theorems for a new it
✍ Issara Inchan 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 734 KB

In this paper, we introduce a new iterative method of a k-strictly pseudo-contractive mapping for some 0 ≤ 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