Abstract
Let be a nonempty closed convex subset of a reflexive Banach space
with a weakly continuous dual mapping, and let
be an infinite countable family of asymptotically nonexpansive mappings with the sequence
satisfying
for each
,
, and
for each
. In this paper, we introduce a new implicit iterative scheme generated by
and prove that the scheme converges strongly to a common fixed point of
, which solves some certain variational inequality.
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Wang, S., Yu, L. & Guo, B. An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces. Fixed Point Theory Appl 2008, 350483 (2008). https://doi.org/10.1155/2008/350483
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DOI: https://doi.org/10.1155/2008/350483