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KHAN, S. H., ABBAS, M., KHAN, A. R.. (1388). COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS. , 33(3), 249-257. doi: 10.22099/ijsts.2009.2221
S. H. KHAN; M. ABBAS; A. R. KHAN. "COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS". , 33, 3, 1388, 249-257. doi: 10.22099/ijsts.2009.2221
KHAN, S. H., ABBAS, M., KHAN, A. R.. (1388). 'COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS', , 33(3), pp. 249-257. doi: 10.22099/ijsts.2009.2221
KHAN, S. H., ABBAS, M., KHAN, A. R.. COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS. , 1388; 33(3): 249-257. doi: 10.22099/ijsts.2009.2221

COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS

Iranian Journal of Science
مقاله 5، دوره 33، شماره 3، آذر 2009، صفحه 249-257    اصل مقاله (78.07 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2009.2221
نویسندگان
S. H. KHAN* 1؛ M. ABBAS2؛ A. R. KHAN3
1Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar
2Department of Mathematics, Lahore University of Management Sciences, 54792, Lahore, Pakistan
3King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran 31261, Saudi Arabia
چکیده
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.
کلیدواژه‌ها
One-step Iteration Process؛ nonexpansive mapping؛ common fixed point؛ condition (A) weak and strong convergence
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