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- W2078351423 abstract "Let K be a nonempty closed convex and bounded subset of a real Banach space E and T:K→K be uniformly L-Lipschitzian, uniformly asymptotically regular with sequence {εn}, and asymptotically pseudocontractive with constant {kn}, where {kn} and {εn} satisfy certain mild conditions. Let a sequence {xn} be generated from x1∈K by xn+1:=(1−λn)xn+λnTnxn−λnθn(xn−x1), for all integers n⩾1, where {λn} and {θn} are real sequences satisfying appropriate conditions, then ‖xn−Txn‖→0 as n→∞. Moreover, if E is reflexive, and has uniform normal structure with coefficient N(E) and L<N(E)1/2 and has a uniformly Gâteaux differentiable norm, and T satisfies an additional mild condition, then {xn} also converges strongly to a fixed point of T." @default.
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- W2078351423 date "2003-02-01" @default.
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- W2078351423 title "Approximate fixed point sequences and convergence theorems for asymptotically pseudocontractive mappings" @default.
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- W2078351423 doi "https://doi.org/10.1016/s0022-247x(02)00572-3" @default.
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