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http://dx.doi.org/10.7858/eamj.2010.26.3.337

VISCOSITY APPROXIMATIONS FOR NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES  

Jung, Jong-Soo (DEPARTMENT OF MATHEMATICS DONG-A UNIVERSITY)
Publication Information
East Asian mathematical journal / v.26, no.3, 2010 , pp. 337-350 More about this Journal
Abstract
Strong convergence theorem of the explicit viscosity iterative scheme involving the sunny nonexpansive retraction for nonexpansive nonself-mappings is established in a reflexive and strictly convex Banach spaces having a weakly sequentially continuous duality mapping. The main result improves the corresponding result of [19] to the more general class of mappings together with certain different control conditions.
Keywords
viscosity explicit iterative scheme; nonexpansive nonself-mapping; contraction; weakly asymptotically regular; variational inequality; strictly convex; weakly sequential continuous duality mapping;
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