In this paper we introduce a viscosity type algorithm to stronglyapproximate solutions of variational inequalities in the settingof Hilbert spaces. Moreover, depending on the hypothesis onthe coefficients involved on the scheme, these solutions arecommon fixed points of a nonexpansive mapping and of a $L$-hybridmapping or fixed points of one of them.

On Strong Convergence of Viscosity type Method using Averaged Type Mappings

CIANCIARUSO, Filomena;MARINO, Giuseppe;
2015

Abstract

In this paper we introduce a viscosity type algorithm to stronglyapproximate solutions of variational inequalities in the settingof Hilbert spaces. Moreover, depending on the hypothesis onthe coefficients involved on the scheme, these solutions arecommon fixed points of a nonexpansive mapping and of a $L$-hybridmapping or fixed points of one of them.
strongly monotone and Lipschtiz continuous operators; $L$-hybrid mappings; averaged type mappings
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/139917
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