11-12-2025
جامعة الملك عبدالعزيز
KING ABDULAZIZ UNIVERSITY
Faculty of Sciences
Document Details
Document Type
:
Article In Journal
Document Title
:
Weak convergence theorems for a finite family of strict pseudocontractions
Weak convergence theorems for a finite family of strict pseudocontractions
Subject
:
Mthematics
Document Language
:
English
Abstract
:
Let E be a uniformly smooth real Banach space which is also uniformly convex and K be a nonempty closed convex subset of E. Let T : K → K be a λ-strict pseudocontraction for some 0 ≤ λ < 1 with x* ∈ F (T) : = {x ∈ K : T x = x} ≠ 0{combining long solidus overlay}. For a fixed x0 ∈ K, define a sequence {xn} by xn + 1 = (1 - αn) xn + αn T xn, where {αn} is a sequence in [0, 1] satisfying the following conditions: (i) ∑n = 0∞ αn = ∞; (ii) ∑n = 0∞ αn2 < ∞. Then, {xn} converges weakly to a fixed point of T. Furthermore, weak convergence theorems are proved for a common fixed point for a finite family of strict pseudocontractions. © 2009 Elsevier Ltd. All rights reserved.
ISSN
:
0362546X
Journal Name
:
Nonlinear Analysis, Theory, Methods and Applications
Volume
:
72
Issue Number
:
3-4
Publishing Year
:
2010 AH
2010 AD
Article Type
:
Article
Added Date
:
Tuesday, January 5, 2010
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
نصير شهزاد
Shahzad, Naseer
Researcher
Doctorate
nshahzad@kaau.edu.sa
E C Chidume
Chidume, E C
Researcher
Doctorate
chidume@ictp.it
Files
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Type
Description
24666.pdf
pdf
Abstract
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