The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces. (English) Zbl 1189.49011

Summary: We discuss the strong convergence of the viscosity approximation method, in Hilbert spaces, relatively to the computation of fixed points of operators in the wide class of quasi-nonexpansive mappings. Our convergence results improve previously known ones obtained for the class of nonexpansive mappings.


49J40 Variational inequalities
65J15 Numerical solutions to equations with nonlinear operators
65K15 Numerical methods for variational inequalities and related problems
47J25 Iterative procedures involving nonlinear operators
Full Text: DOI


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