Common fixed points of jointly asymptotically nonexpansive mappings

Authors

1 Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan

2 Department 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

Iranian Journal of Science
Volume 35, Issue 3 - Serial Number 3
July and August 2011
Pages 209-216

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