Document Details

Document Type : Article In Journal 
Document Title :
Convergence theorems for mappings which are asymptotically nonexpansive in the intermediate sense
Convergence theorems for mappings which are asymptotically nonexpansive in the intermediate sense
 
Subject : Mthematics 
Document Language : English 
Abstract : Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T : K → E be a non-self mapping which is asymptotically nonexpansive in the intermediate sense with F(T) := {x ∈ K : Tx = x} ≠ Ø. A demiclosed principle for T is proved. Moreover, if T is completely continuous, an iterative sequence {xn} is constructed which converges strongly to some x* ∈ F(T). If T is not assumed to be completely continuous but the dual E* of E is assumed to have the Kadec-Klee property, then {xn} converges weakly to some x* ∈ F(T). The operator P which plays a central role in our proofs is, in this case, the Banach space analogue of the proximity map in Hilbert spaces. 
ISSN : 01630563 
Journal Name : Numerical Functional Analysis and Optimization 
Volume : 25 
Issue Number : 3 
Publishing Year : 2004 AH
2004 AD 
Number Of Pages : 18 
Article Type : Article 
Added Date : Wednesday, October 21, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
Chidume, C.E.Chidume, C.E.ResearcherDoctorate 
نصير شهزاد محمد ايوبNaseer ShahzadResearcherDoctoratenshahzad@kaau.edu.sa
Zegeye, H.Zegeye, H.ResearcherDoctorate 

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