%0 Journal Article %T A New Two-Step Iterative Process with Errors for Common Fixed Points in Banach Spaces %A Esref Turkmen %A Murat Ozdemir %A Sezgin Akbulut %J Sel£¿uk Journal of Applied Mathematics %D 2011 %I Sel?uk University %X In this paper, a new two-step iterative scheme with errors is introduced for two asymptotically nonexpansive nonself-mappings. Several convergence theorems are established in real Banach spaces and real uniformly convex Banach spaces. Our theorems improve and extend the results due to Agarwal-O'Regan-Sahu [R.P. Agarwal, Donal O'Regan and D.R. Sahu, Iterative construction of fixed points of nearly asymptotically nonexpansive mappings, J.Nonliear Convex. Anal.8(1)(2007) 61--79] and many other papers. %K Nonself asymptotically nonexpansive mapping %K Strong and weak convergence %K Common fixed point. %U http://www.sumam.selcuk.edu.tr/12-2-1.html