%0 Journal Article
%T COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS
%J Iranian Journal of Science and Technology (Sciences)
%I Springer
%Z 1028-6276
%A KHAN, S. H.
%A ABBAS, M.
%A KHAN, A. R.
%D 2009
%\ 09/13/2009
%V 33
%N 3
%P 249-257
%! COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS
%K One-step Iteration Process
%K nonexpansive mapping
%K common fixed point
%K condition (A) weak and
strong convergence
%R 10.22099/ijsts.2009.2221
%X We introduce a new one-step iteration process to approximate common fixed points of twononexpansive mappings in Banach spaces and prove weak convergence of the iterative sequence using (i)Opial’s condition and (ii) Kadec-Klee property. Strong convergence theorems are also established in Banachspaces and uniformly convex Banach spaces under the so-called Condition ( A ), which is weaker thancompactness.
%U http://ijsts.shirazu.ac.ir/article_2221_9404272f263e0e8a6524fc174aec85fd.pdf