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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 Type
Dr Grade
Email
H Zegeye
Zegeye, H
Researcher
Master
habtuzh@yahoo.com
نصير شهزاد
Shahzad, Naseer
Researcher
Doctorate
nshahzad@kau.edu.sa
محمد علي الغامدي
Alghamdi, Mohammad A
Researcher
Doctorate
MGHAMDI3@kau.edu.sa
Files
File Name
Type
Description
32350.pdf
pdf
Abstract
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