✦ LIBER ✦

A general iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces

✍ Scribed by Shuang Wang

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 230 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.12.048

No coin nor oath required. For personal study only.

✦ Synopsis

In this work, we consider a general composite iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of fixed points, which solves the variational inequality ⟨(γ f -µF )q, p -q⟩ ≤ 0, for p ∈ ∩ ∞ i=1 F (T i ). Our results improve and extend corresponding ones announced by many others.

📜 SIMILAR VOLUMES

Strong convergence theorems for a new it

Strong convergence theorems for a new iterative method of -strictly pseudo-contractive mappings in Hilbert spaces

✍ 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

A general iterative method for an infini

A general iterative method for an infinite family of nonexpansive mappings

✍ Yonghong Yao; Yeong-Cheng Liou; Rudong Chen 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 266 KB

Let H be a real Hilbert space. Consider the iterative sequence where γ > 0 is some constant, f : H → H is a given contractive mapping, A is a strongly positive bounded linear operator on H and W n is the W -mapping generated by an infinite countable family of nonexpansive mappings T 1 , T 2 , . . .

Convergence of a general iterative metho

Convergence of a general iterative method for nonexpansive mappings in Hilbert spaces

✍ Yeol Je Cho; Xiaolong Qin 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 481 KB

In this paper, we introduce a modified Ishikawa iterative process for approximating a fixed point of nonexpansive mappings in Hilbert spaces. We establish some strong convergence theorems of the general iteration scheme under some mild conditions. The results improve and extend the corresponding res

Strong convergence theorems of a general

Strong convergence theorems of a general iterative process for a finite family of -strict pseudo-contractions in -uniformly smooth Banach spaces

✍ Gang Cai; Chang song Hu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 747 KB