On the strong convergence theorems by the hybrid method for a family of mappings in uniformly convex Banach spaces

Theory of Approximation and Applications

مقاله 9، دوره 6، شماره 2، اسفند 2012، صفحه 83-91   

نوع مقاله: Research Articles

نویسندگان

M. Salehi^{* 1}؛ V. Dadashi²؛ M. Roohi³

¹Department of Mathematics, Islamic Azad University, Savadkooh Branch, Savadkooh, Iran.

²Department of Mathematics, Islamic Azad University, Sari Branch, Sari, Iran.

³Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran.

چکیده

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 dierentiable and let {T_n} be
a family of self-mappings on C such that the set of all common fixed points
of {T_n} is nonempty. We construct a sequence {x_n} generated by the hybrid
method and also we give the conditions of {T_n} under which {x_n} converges
strongly to a common xed point of {T_n}.

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