Abstract
Let be a real reflexive Banach space, let
be a closed convex subset of
, and let
be an
-accretive operator with a zero. Consider the iterative method that generates the sequence
by the algorithm
where
and
are two sequences satisfying certain conditions,
denotes the resolvent
for
, and let
be a fixed contractive mapping. The strong convergence of the algorithm
is proved assuming that
has a weakly continuous duality map.
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Chen, R., Zhu, Z. Viscosity approximation fixed points for nonexpansive and -accretive operators.
Fixed Point Theory Appl 2006, 81325 (2006). https://doi.org/10.1155/FPTA/2006/81325
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DOI: https://doi.org/10.1155/FPTA/2006/81325