Convergence theorems for mixed type asymptotically nonexpansive mappings
1 School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu, 215009, P.R. China
2 Department of Mathematics Education and the RINS College of Education, Gyeongsang National University, Chinju, 660-701, Korea
3 Department of Aerospace Engineering and Mechanics, University of Minnesota, Twin Cities, Minneapolis, MN, 55455, USA
Fixed Point Theory and Applications 2012, 2012:224 doi:10.1186/1687-1812-2012-224Published: 11 December 2012
In this paper, we introduce a new two-step iterative scheme of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and prove strong and weak convergence theorems for the new two-step iterative scheme in uniformly convex Banach spaces.