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

نویسندگان

  • M. Roohi Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran.
  • M. Salehi Department of Mathematics, Islamic Azad University, Savadkooh Branch, Savadkooh, Iran.
  • V. Dadashi Department of Mathematics, Islamic Azad University, Sari Branch, Sari, Iran.
چکیده مقاله:

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

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عنوان ژورنال

دوره 6  شماره 2

صفحات  83- 91

تاریخ انتشار 2010-01-01

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