Document Details

Document Type : Article In Journal 
Document Title :
Viscosity approximation methods for pseudocontractive mappings in Banach spaces
Viscosity approximation methods for pseudocontractive mappings in Banach spaces
 
Subject : Mathematics 
Document Language : English 
Abstract : Let K be a closed convex subset of a Banach space E and let T : K → E be a continuous weakly inward pseudocontractive mapping. Then for t ∈ (0, 1), there exists a sequence {yt} ⊂ K satisfying yt = (1 - t)f(yt) + tT(yt), where f ∈ ΠK {colon equals} {f : K → K, a contraction with a suitable contractive constant}. Suppose further that F(T) ≠ ∅ and E is reflexive and strictly convex which has uniformly Gâteaux differentiable norm. Then it is proved that {yt} converges strongly to a fixed point of T which is also a solution of certain variational inequality. Moreover, an explicit iteration process which converges strongly to a fixed point of T and hence to a solution of certain variational inequality is constructed provided that T is Lipschitzian. 
ISSN : 0096-3003 
Journal Name : Applied Mathematics and Computation 
Volume : 185 
Issue Number : 1 
Publishing Year : 1428 AH
2007 AD 
Article Type : Article 
Added Date : Saturday, December 17, 2011 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
H ZegeyeZegeye, H ResearcherMasterhabtuzh@yahoo.com
نصير شهزادShahzad, Naseer ResearcherDoctoratenshahzad@kau.edu.sa
Tefera MekonenMekonen, Tefera ResearcherDoctorate 

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