SpringerIranian Journal of Science and Technology (Sciences)1028-627633320090913COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS249257222110.22099/ijsts.2009.2221ENS. H.KHANDepartment of Mathematics, Statistics and Physics, Qatar University, Doha 2713, QatarM.ABBASDepartment of Mathematics, Lahore University of Management
Sciences, 54792, Lahore, PakistanA. R.KHANKing Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics,
Dhahran 31261, Saudi ArabiaJournal Article20080901We introduce a new one-step iteration process to approximate common fixed points of two<br />nonexpansive mappings in Banach spaces and prove weak convergence of the iterative sequence using (i)<br />Opial’s condition and (ii) Kadec-Klee property. Strong convergence theorems are also established in Banach<br />spaces and uniformly convex Banach spaces under the so-called Condition ( A ), which is weaker than<br />compactness.http://ijsts.shirazu.ac.ir/article_2221_9404272f263e0e8a6524fc174aec85fd.pdf