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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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