Document Details

Document Type : Article In Journal 
Document Title :
Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings
Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings
 
Subject : Mathematics 
Document Language : English 
Abstract : Let C be a nonempty, closed and convex subset of a real Hilbert space H. Let Ti:C→H,i=1,2,...,N, be a finite family of generalized asymptotically nonexpansive mappings. It is our purpose, in this paper to prove strong convergence of Mann's type method to a common fixed point of Ti:i=1,2,...,N provided that the interior of common fixed points is nonempty. No compactness assumption is imposed either on T or on C. As a consequence, it is proved that Mann's method converges for a fixed point of nonexpansive mapping provided that interior of F(T)≠Combining long solidus overlay. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings. 
ISSN : 0898-1221 
Journal Name : Computers and Mathematics with Applications 
Volume : 62 
Issue Number : 11 
Publishing Year : 1432 AH
2011 AD 
Article Type : Article 
Added Date : Monday, February 20, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
H ZegeyeZegeye, H ResearcherMasterhabtuzh@yahoo.com
نصير شهزادShahzad, Naseer ResearcherDoctoratenshahzad@kau.edu.sa

Files

File NameTypeDescription
 32371.pdf pdfAbstract

Back To Researches Page