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General viscosity approximation methods for quasi-nonexpansive mappings with applications

General viscosity approximation methods for quasi-nonexpansive mappings with applications

The purpose of this paper is to introduce and study the general viscosity approximation methods for quasi-nonexpansive mappings in the setting of infinite-dimensional Hilbert spaces. Under suitable conditions, we prove that the sequences generated by the proposed new algorithm converge strongly to a fixed point of quasi-nonexpansive mappings in Hilbert …