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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 Type
Dr Grade
Email
H Zegeye
Zegeye, H
Researcher
Master
habtuzh@yahoo.com
نصير شهزاد
Shahzad, Naseer
Researcher
Doctorate
nshahzad@kau.edu.sa
Files
File Name
Type
Description
32371.pdf
pdf
Abstract
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