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 is constructed. Indeed, let C be a nonempty closed convex subset of a uniformly convex Banach space X whose norm is Gateaux di erentiable and let {Tn} be a family of self-mappings on C such that the set of all common fixed points of {Tn} is nonempty. We construct a sequence {xn} generated by the hybrid method and also we give the conditions of {Tn} under which {xn} converges strongly to a common xed point of {Tn}.
Language:
English
Published:
Theory of Approximation and Applications, Volume:6 Issue: 2, Summer and Autumn 2011
Page:
83
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