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- W2113647004 abstract "Let E be a real normed linear space, let K be a nonempty convex subset of E, and let be a uniformly continuous Φ-pseudo-contractive-type mapping. It is proved that both the Mann-type and Ishikawa-type iteration schemes converge strongly to the unique fixed point of T, without requiring that the sequences associated with the schemes be bounded. Our theorems are significant improvements on the results of Chang et al. (Iterative methods for nonlinear operators in Banach spaces, 2002), those of Gu (Northeast Math. J. 17(3):340-346, 2001), and those of a host of other authors. MSC:47H06, 47H09, 47J05, 47J25." @default.
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- W2113647004 date "2013-11-25" @default.
- W2113647004 modified "2023-09-27" @default.
- W2113647004 title "Convergence theorems for fixed points of uniformly continuous Φ-pseudo-contractive-type operator" @default.
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- W2113647004 doi "https://doi.org/10.1186/1687-1812-2013-321" @default.
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