Main Page
About Science
Faculty Deanship
Letter of Dean
Overview of Deanship
Vice Deans
Vice Dean
Letter of Vice-dean
Overview of Vice-deanship
Vice Dean for Graduate Studies
Letter of Vice Dean for Graduate Studies
Overview of Vice Dean of Postgraduate Studies
Research and Innovation Unit
Vice Dean for Girls Campus
Faculty Management
Letter of Managing Director-Boys Campus
Letter of Managing Director-Girls Campus
Overview of Management
Educational Affairs
Males Campus
Staff
Females Campus
Contact Us
Research
عربي
English
About
Admission
Academic
Research and Innovations
University Life
E-Services
Search
Faculty of Sciences
Document Details
Document Type
:
Article In Journal
Document Title
:
Strong convergence theorems for a semigroup of asymptotically nonexpansive mappings
Strong convergence theorems for a semigroup of asymptotically nonexpansive mappings
Subject
:
Mathematics
Document Language
:
English
Abstract
:
Let K be a nonempty closed convex subset of a real Banach space E. Let T:={T(t):t≥0} be a strongly continuous semigroup of asymptotically nonexpansive mappings from K into K with a sequence {Lt}∪[1,∞). Suppose F(T)≠Ø. Then, for a given uεK there exists a sequence {un}∪K such that un=(1-αn)1tn∫0tnT(s)unds+αnu, for nεN, where tnεR+, {αn}∪(0,1) and {Lt} satisfy certain conditions. Suppose, in addition, that E is reflexive strictly convex with a Gâteaux differentiable norm. Then, the sequence {un} converges strongly to a point of F(T). Furthermore, an explicit sequence {xn} which converges strongly to a fixed point of T is proved.
ISSN
:
0895-7177
Journal Name
:
Mathematical and Computer Modelling
Volume
:
54
Issue Number
:
9
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
O A Daman
Daman, O A
Researcher
Doctorate
damanoa@mopipi.ub.bw
Files
File Name
Type
Description
32376.pdf
pdf
Abstract
Back To Researches Page