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

Title & Authors
STRONG CONVERGENCE OF AN ITERATIVE METHOD FOR FINDING COMMON ZEROS OF A FINITE FAMILY OF ACCRETIVE OPERATORS
Jung, Jong-Soo;

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$\small{\hat{a}}$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$\small{\hat{a}}$teaux differentiable norm;
Language
English
Cited by
1.
VISCOSITY METHODS OF APPROXIMATION FOR A COMMON SOLUTION OF A FINITE FAMILY OF ACCRETIVE OPERATORS,;;;

East Asian mathematical journal, 2011. vol.27. 1, pp.11-21
1.
Viscosity approximation method with Meir-Keeler contractions for common zero of accretive operators in Banach spaces, Fixed Point Theory and Applications, 2015, 2015, 1
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