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A new iteration process for finite families of generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings

✍ Scribed by C.E. Chidume; E.U. Ofoedu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
258 KB
Volume
69
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


A new iteration process for generalized
✍ C.E. Chidume; E.U. Ofoedu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 175 KB

Let K be a nonempty closed convex subset of a real Banach space E. Let T : K β†’ K be a generalized Lipschitz pseudo-contractive mapping such that F(T ) := {x ∈ K : T x = x} = βˆ…. Let {Ξ± n } nβ‰₯1 , {Ξ» n } nβ‰₯1 and {ΞΈ n } nβ‰₯1 be real sequences in (0, 1) such that Ξ± n = o(ΞΈ n ), lim nβ†’βˆž Ξ» n = 0 and Ξ» n (Ξ±

A note on the paper β€œA new iteration pro
✍ Yisheng Song πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 157 KB

In this note, we will modify several gaps in Chidume and Ofoedu [C.E. Chidume, E.U. Ofoedu, A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings, Nonlinear Anal. ( 2006), in press

A general iterative method for obtaining
✍ Shuang Wang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 230 KB

In this work, we consider a general composite iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of fixed points, which solves th

Convergence of a general iterative schem
✍ Abdul Rahim Khan; M.A. Ahmed πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 268 KB

In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-uddin (2008) [8] in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi-nonexpansive mappings. As a consequence of our result, we