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 TypeDr GradeEmail
نصير شهزادShahzad, Naseer ResearcherDoctoratenshahzad@kaau.edu.sa
E C ChidumeChidume, E CResearcherDoctoratechidume@ictp.it

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