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Viscosity methods of approximation for a common solution of a finite family of accretive operators
Jun-Min Chen,Li-Juan Zhang,Tie-Gang Fan 영남수학회 2011 East Asian mathematical journal Vol.27 No.1
In this paper, we try to extend the viscosity approximation technique to find a particular common zero of a finite family of accretive mappings in a Banach space which is strictly convex reflexive and has a weakly sequentially continuous duality mapping. The explicit viscosity approximation scheme is proposed and its strong convergence to a solution of a variational inequality is proved.
VISCOSITY METHODS OF APPROXIMATION FOR A COMMON SOLUTION OF A FINITE FAMILY OF ACCRETIVE OPERATORS
Chen, Jun-Min,Zhang, Li-Juan,Fan, Tie-Gang The Youngnam Mathematical Society 2011 East Asian mathematical journal Vol.27 No.1
In this paper, we try to extend the viscosity approximation technique to find a particular common zero of a finite family of accretive mappings in a Banach space which is strictly convex reflexive and has a weakly sequentially continuous duality mapping. The explicit viscosity approximation scheme is proposed and its strong convergence to a solution of a variational inequality is proved.