Title of article :
Weak and strong convergence theorems of three step iteration process with errors for nonself-asymptotically nonexpansive mappings
Author/Authors :
Yang، نويسنده , , Liping and Xie، نويسنده , , Xiangsheng، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
Let E be a real uniformly convex and smooth Banach space with P as a sunny nonexpansive retraction, K be a nonempty closed convex subset of E . Let { T i } i = 1 3 : K → E be three of weakly inward and asymptotically nonexpansive mappings with respect to P . It is proved that three step iteration process with errors converges weakly and strongly to a common fixed point of { T i } i = 1 3 under certain conditions. It presents some new results in this paper.
Keywords :
Nonself-asymptotically nonexpansive mappings , common fixed point , Three step iteration , Kadec–Klee property
Journal title :
Mathematical and Computer Modelling
Journal title :
Mathematical and Computer Modelling