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Common fixed points of jointly asymptotically nonexpansive mappings | ||
| Iranian Journal of Science | ||
| مقاله 5، دوره 35، شماره 3، آبان 2011، صفحه 209-216 اصل مقاله (126.29 K) | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2144 | ||
| نویسندگان | ||
| M. Abbas1؛ H. Khan* 2 | ||
| 1Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan | ||
| 2Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar | ||
| چکیده | ||
| A definition of two jointly asymptotically nonexpansive mappings S and T on uniformly convex Banach space E is studied to approximate common fixed points of two such mappings through weak and strong convergence of an Ishikawa type iteration scheme generated by S and T on a bounded closed and convex subset of E. As a consequence of the notion of two jointly asymptotically nonexpansive maps, we can relax the very commonly used strong condition “F(S) and F(T) has a nonempty intersection” with the weaker assumption “either F(S) is nonempty or F(T) is nonempty”. Our convergence results are refinements and generalizations of several recent results from the current literature | ||
| کلیدواژهها | ||
| Jointly asymptotically nonexpansive mapping؛ common fixed point؛ weak and strong convergence؛ iteration scheme؛ Condition (A*) | ||
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