A new approach to the approximation of common fixed points of an infinite family of relatively quasinonexpansive mappings with applications
Summary: By using a specific way of choosing the indexes, we propose an iteration algorithm generated by the monotone CQ method for approximating common fixed points of an infinite family of relatively quasinonexpansive mappings. A strong convergence theorem without the stronger assumptions of the AKTT condition and the \(^\ast\)AKTT condition imposed on the involved mappings is established in the framework of Banach space. As application, an iterative solution to a system of equilibrium problems is studied. The result is more applicable than those of other authors with related interest.
scientific article; zbMATH DE number 6116399
scientific article