Approximation Solutions of Nonlinear Strongly Accretive Operator Equations by Ishikawa Iteration Procedure with Errors

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摘要 Let1<ρ≤2,Ebearealρ-uniformlysmoothBanachspaceandT:E→Ebeacontinuousandstronglyaccretiveoperator.ThepurposeofthispaperistoinvestigatetheproblemofapproximatingsolutionstotheequationTx=fbytheIshikawaiterationprocedurewitherrors(?)wherex_0∈E,{u_n},{υ_n}areboundedsequencesinEand{α_n},{b_n},{c_n},{a_n~'},{b_n~'},{c_n~'}arerealsequencesin[0,1].Undertheassumptionofthecondition0<α≤b_n+c_n,An≥0,itisshownthattheiterativesequence{x_n}convergesstronglytotheuniquesolutionoftheequationTx=f.Furthermore,undernoassumptionofthecondition(?)(b_n~'+c_n~')=0,itisalsoshownthat{x_n}convergesstronglytotheuniquesolutionofTx=f.
机构地区 不详
出版日期 2006年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)