Document Details

Document Type : Article In Journal 
Document Title :
Approximation methods for a common fixed point of a finite family of nonexpansive mappings
Approximation methods for a common fixed point of a finite family of nonexpansive mappings
 
Subject : Mthematics 
Document Language : English 
Abstract : Let K be a nonempty closed and convex subset of a real Banach space E. Let T: KE be a continuous pseudocontractive mapping and f:KE a contraction, both satisfying weakly inward condition. Then for t(0, 1), there exists a sequence {yt}K satisfying the following condition: yt=(1-t)f(yt)+tT(yt). Suppose further that {yt} is bounded or F(T) and E is a reflexive Banach space having weakly continuous duality mapping J for some gauge . Then it is proved that {yt} converges strongly to a fixed point of T, which is also a solution of certain variational inequality. Moreover, an explicit iteration process that converges strongly to a common fixed point of a finite family of nonexpansive mappings and hence to a solution of a certain variational inequality is constructed. 
ISSN : 01630563 
Journal Name : Numerical Functional Analysis and Optimization 
Volume : 28 
Issue Number : 11 
Publishing Year : 2007 AH
2007 AD 
Number Of Pages : 14 
Article Type : Article 
Added Date : Wednesday, October 21, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
Zegeye, H.Zegeye, H.ResearcherDoctorate 
نصير شهزاد محمد ايوبNaseer ShahzadResearcherDoctoratenshahzad@kaau.edu.sa

Files

File NameTypeDescription
 23252.pdf pdfAbstract

Back To Researches Page