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We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings. As a consequence, convergence result to a common minimum-norm fixed point of a finite family of nonexpansive mappings is proved. MSC: 47H09; 47H10; 47J05; 47J25doi:10.1186/1687-1812-2013-1 fatcat:sebcx7skgbbgbme3dywhmrflt4