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 TypeDr GradeEmail
H ZegeyeZegeye, H ResearcherMasterhabtuzh@yahoo.com
نصير شهزادShahzad, Naseer ResearcherDoctoratenshahzad@kau.edu.sa
O A DamanDaman, O AResearcherDoctoratedamanoa@mopipi.ub.bw

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