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Iranian Journal of Science and Technology (Sciences)
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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

Article 5, Volume 35, Issue 3, Summer 2011, Page 209-216  XML PDF (126 K)
DOI: 10.22099/ijsts.2011.2144
Authors
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
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
Keywords
Jointly asymptotically nonexpansive mapping; common fixed point; weak and strong convergence; iteration scheme; Condition (A*)
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