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We obtain some fundamental properties fork-strictly pseudo-nonspreading mappings in a Hilbert space. We study approximation of common fixed points ofk-strictly pseudo-nonspreading mappings and nonexpansive mappings in a Hilbert space by using a new iterative scheme. Furthermore, we suggest some open problems.doi:10.1155/2012/594218 fatcat:47swv6usrzcirf7zsociwkfxym