Author/Authors :
KHAN، S. H نويسنده Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar KHAN, S. H , ABBAS، M نويسنده Department of Mathematics, Lahore University of Management Sciences, 54792, Lahore, Pakistan, ABBAS, M , KHAN، A. R نويسنده King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran 31261, Saudi Arabia KHAN, A. R
Abstract :
We introduce a new one-step iteration process to approximate common fixed points of two
nonexpansive 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 Banach
spaces and uniformly convex Banach spaces under the so-called Condition ( A? ), which is weaker than
compactness.
