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Viscosity approximation method for quasinonexpansive mappings with contraction-like mappings. (English) Zbl 1507.47118

Summary: We study the viscosity approximation method for a sequence of quasinonexpansive mappings with contraction-like mappings. We establish a strong convergence theorem and then we apply our result to approximate a solution of a split feasibility problem and a fixed point of a Lipschitz continuous pseudo-contraction.

MSC:

47J26 Fixed-point iterations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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Full Text: Euclid