Abstract
Let be a nonempty closed convex subset of a reflexive real Banach space
which has a uniformly Gâteaux differentiable norm. Assume that
is a sunny nonexpansive retract of
with
as the sunny nonexpansive retraction. Let
,
, be a family of nonexpansive mappings which are weakly inward. Assume that every nonempty closed bounded convex subset of
has the fixed point property for nonexpansive mappings. A strong convergence theorem is proved for a common fixed point of a family of nonexpansive mappings provided that
,
, satisfy some mild conditions.
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Chidume, C., Zegeye, H. & Shahzad, N. Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings. Fixed Point Theory Appl 2005, 359216 (2005). https://doi.org/10.1155/FPTA.2005.233
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DOI: https://doi.org/10.1155/FPTA.2005.233