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CQ iterative algorithms for fixed points of nonexpansive mappings and split feasibility problems in Hilbert spaces. (English) Zbl 1505.47089

Summary: Fixed points of a nonexpansive mapping and solutions of a split split feasibility problem are investigated based on a CQ iterative algorithm. A weak convergence theorem of common solutions is established in the framework of Hilbert spaces. As an application, split equality problems are also considered.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H05 Monotone operators and generalizations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.