TY - JOUR ID - 2221 TI - COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - KHAN, S. H. AU - ABBAS, M. AU - KHAN, A. R. AD - Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar AD - Department of Mathematics, Lahore University of Management Sciences, 54792, Lahore, Pakistan AD - King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran 31261, Saudi Arabia Y1 - 2009 PY - 2009 VL - 33 IS - 3 SP - 249 EP - 257 KW - One-step Iteration Process KW - nonexpansive mapping KW - common fixed point KW - condition (A) weak and strong convergence DO - 10.22099/ijsts.2009.2221 N2 - 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. UR - https://ijsts.shirazu.ac.ir/article_2221.html L1 - https://ijsts.shirazu.ac.ir/article_2221_9404272f263e0e8a6524fc174aec85fd.pdf ER -