On the strong convergence theorems by the hybrid method for a family of mappings in uniformly convex Banach spaces
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Abstract:
Some algorithms for nding common xed point of a family of mappings isconstructed. Indeed, let C be a nonempty closed convex subset of a uniformlyconvex Banach space X whose norm is Gateaux dierentiable and let {Tn} bea family of self-mappings on C such that the set of all common fixed pointsof {Tn} is nonempty. We construct a sequence {xn} generated by the hybridmethod and also we give the conditions of {Tn} under which {xn} convergesstrongly to a common xed point of {Tn}.
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Journal title
volume 6 issue 2
pages 83- 91
publication date 2010-01-01
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