Document Details

Document Type : Article In Journal 
Document Title :
Convergence of Ishikawa's iteration method for pseudocontractive mappings
Convergence of Ishikawa's iteration method for pseudocontractive 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→C,i=1,2,⋯,N, be a finite family of Lipschitz pseudocontractive mappings. It is our purpose, in this paper, to prove strong convergence of Ishikawa's method to a common fixed point of a finite family of Lipschitz pseudocontractive mappings provided that the interior of the common fixed points is nonempty. No compactness assumption is imposed either on T or on C. Moreover, computation of the closed convex set Cn for each n<1 is not required. The results obtained in this paper improve on most of the results that have been proved for this class of nonlinear mappings. 
ISSN : 0362-546X 
Journal Name : Nonlinear Analysis, Theory, Methods and Applications 
Volume : 74 
Issue Number : 18 
Publishing Year : 1432 AH
2011 AD 
Article Type : Article 
Added Date : Sunday, February 19, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
H ZegeyeZegeye, H ResearcherMasterhabtuzh@yahoo.com
نصير شهزادShahzad, Naseer ResearcherDoctoratenshahzad@kau.edu.sa
محمد علي الغامديAlghamdi, Mohammad AResearcherDoctorateMGHAMDI3@kau.edu.sa

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