TY - JOUR
ID - 2221
TI - COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS
JO - Iranian Journal of Science and Technology (Sciences)
JA - IJSTS
LA - en
SN - 1028-6276
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 - http://ijsts.shirazu.ac.ir/article_2221.html
L1 - http://ijsts.shirazu.ac.ir/article_2221_9404272f263e0e8a6524fc174aec85fd.pdf
ER -