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

- Journal title : Communications of the Korean Mathematical Society
- Volume 24, Issue 3, 2009, pp.381-393
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2009.24.3.381

Title & Authors

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

Jung, Jong-Soo;

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 Gteaux 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 Gteaux differentiable norm;

Language

English

Cited by

1.

VISCOSITY METHODS OF APPROXIMATION FOR A COMMON SOLUTION OF A FINITE FAMILY OF ACCRETIVE OPERATORS,Chen, Jun-Min;Zhang, Li-Juan;Fan, Tie-Gang;

East Asian mathematical journal , 2011. vol.27. 1, pp.11-21

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