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Iterative process for certain nonlinear mappings with lipschitz condition

โœ Scribed by Gu Feng

Publisher
Springer
Year
2001
Tongue
English
Weight
440 KB
Volume
22
Category
Article
ISSN
0253-4827

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A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings
โœ C.E. Chidume; E.U. Ofoedu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 175 KB

Let K be a nonempty closed convex subset of a real Banach space E. Let T : K โ†’ K be a generalized Lipschitz pseudo-contractive mapping such that F(T ) := {x โˆˆ K : T x = x} = โˆ…. Let {ฮฑ n } nโ‰ฅ1 , {ฮป n } nโ‰ฅ1 and {ฮธ n } nโ‰ฅ1 be real sequences in (0, 1) such that ฮฑ n = o(ฮธ n ), lim nโ†’โˆž ฮป n = 0 and ฮป n (ฮฑ