Abbas, M., Khan, H. (2011). Common fixed points of jointly asymptotically nonexpansive mappings. Iranian Journal of Science and Technology (Sciences), 35(3), 209-216. doi: 10.22099/ijsts.2011.2144
M. Abbas; H. Khan. "Common fixed points of jointly asymptotically nonexpansive mappings". Iranian Journal of Science and Technology (Sciences), 35, 3, 2011, 209-216. doi: 10.22099/ijsts.2011.2144
Abbas, M., Khan, H. (2011). 'Common fixed points of jointly asymptotically nonexpansive mappings', Iranian Journal of Science and Technology (Sciences), 35(3), pp. 209-216. doi: 10.22099/ijsts.2011.2144
Abbas, M., Khan, H. Common fixed points of jointly asymptotically nonexpansive mappings. Iranian Journal of Science and Technology (Sciences), 2011; 35(3): 209-216. doi: 10.22099/ijsts.2011.2144
Common fixed points of jointly asymptotically nonexpansive mappings
1Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan
2Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar
Abstract
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
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