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http://dx.doi.org/10.4134/CKMS.2009.24.3.381

STRONG CONVERGENCE OF AN ITERATIVE METHOD FOR FINDING COMMON ZEROS OF A FINITE FAMILY OF ACCRETIVE OPERATORS  

Jung, Jong-Soo (DEPARTMENT OF MATHEMATICS DONG-A UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.3, 2009 , pp. 381-393 More about this Journal
Abstract
Strong convergence theorems on viscosity approximation methods for finding a common zero of a finite family accretive operators are established in a reflexive and strictly Banach space having a uniformly G$\hat{a}$teaux differentiable norm. The main theorems supplement the recent corresponding results of Wong et al. [29] and Zegeye and Shahzad [32] to the viscosity method together with different control conditions. Our results also improve the corresponding results of [9, 16, 18, 19, 25] for finite nonexpansive mappings to the case of finite pseudocontractive mappings.
Keywords
strong convergence; variational inequalities; nonexpansive mapping; fixed points; accretive operator; resolvent; sunny and nonexpansive retraction; strictly convex; uniformly G$\hat{a}$teaux differentiable norm;
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