Title of article
On the strong convergence theorems by the hybrid method for a family of mappings in uniformly convex Banach spaces
Author/Authors
Salehi, M. Department of Mathematics - Savadkooh Branch, Islamic Azad University, Savadkooh , Dadashi, V. Department of Mathematics - Sari Branch, Islamic Azad University, Sari , Roohi, M. Department of Mathematics - Faculty of Basic Sciences - University of Mazandaran
Pages
9
From page
83
To page
91
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 dierentiable 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}.
Keywords
Hybrid method , Common fixed point , Iterative algorithm , Uniformly convex Banach space
Journal title
نظريه تقريب و كاربردهاي آن
Serial Year
2011
Record number
2492809
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