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

نویسندگان

m. salehi

department of mathematics, islamic azad university, savadkooh branch, savadkooh, iran. v. dadashi

department of mathematics, islamic azad university, sari branch, sari, iran. m. roohi

department of mathematics, faculty of basic sciences, university of mazandaran, babolsar, iran.

چکیده

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 di erentiable 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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