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Strong convergence of a new iterative process based on the Shrinkingprojection method to a common element of the set of common fixed points of aninfinite family of relatively quasi-nonexpansive multivalued mappings and thesolution set of an equilibrium problem in a Banach space is established. Ourresults improved and extend the corresponding results announced by many others.

Shrinking projection method for a sequence of relatively quasi-nonexpansive multivalued mappings and equilibrium problem in Banach spaces