Türkmen, EşrefÖzdemir, MuratAkbulut, Sezgin2018-05-082018-05-082011Türkmen, E., Özdemir, M., Akbulut, S. (2011). A new two-step iterative process with errors for common fixed points in Banach spaces. Selcuk Journal of Applied Mathematics, 12 (2), 3-19.1302-7980https://hdl.handle.net/20.500.12395/10570URL: http://sjam.selcuk.edu.tr/sjam/article/view/300In 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.eninfo:eu-repo/semantics/openAccessNonself asymptotically nonexpansive mappingKendiliğinden asimptotik olmayan haritalamaStrong and weak convergenceGüçlü ve zayıf yakınsaklıkCommon fixed pointOrtak sabit noktaArticle12319