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[Download] "On Modified Noor Iterations for Asymptotically Nonexpansive Mappings (Report)" by Abdul Rahim Khan ~ eBook PDF Kindle ePub Free

On Modified Noor Iterations for Asymptotically Nonexpansive Mappings (Report)

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eBook details

  • Title: On Modified Noor Iterations for Asymptotically Nonexpansive Mappings (Report)
  • Author : Abdul Rahim Khan
  • Release Date : January 01, 2010
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 91 KB

Description

1 Introduction Let C be a nonempty convex subset of a real normed space E. The map T : C [right arrow] C is said to be asymptotically nonexpansive[8] if there exists a sequence {[k.sub.n]} [subset] [1, [infinity]) with [lim.sub.n[right arrow][infinity] [k.sub.n] = 1 such that [parallel] [T.sup.n] x - [T.sup.n]y [parallel] [less than or equal to] [k.sub.n] [parallel] x - y [parallel] for all x, y [member of] C and for all n [greater than or equal to] 1; it becomes nonexpansive if [k.sub.n] = 1 for all n [greater than or equal to] 1. The set of fixed points of T is denoted by F(T) = [x : Tx = x}.


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