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;
2015-01-01

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.
2015
strongly monotone and Lipschtiz continuous operators; $L$-hybrid mappings; averaged type mappings
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/139917
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 1
social impact