Author's: Hongliang Zuo and Min Yang
Pages: [121] - [135]
Received Date: September 8, 2008
Submitted by:
Let E be a real Banach space with uniformly Gâteaux
differentiable norm possessing uniform normal structure. K is a
nonempty bounded closed convex subset of E, and is a sequence of
Lipschitzian nonexpansive mappings from
K into itself such that
and
and f be a contraction on K.
Under sutiable conditions on sequence
we show the sequence
defined as
exists and converges strongly to a fixed
point of a mapping T. And we apply it to prove the iterative
process defined by
and
converges strongly to the same point.
uniformly Gâteaux differentiable norm, uniform normal structure, viscosity approximation methods, Lipschitzian mappings.