Author:
Zhang Jingling,Su Yongfu,Cheng Qingqing
Abstract
Abstract
Let E be a uniformly convex and uniformly smooth Banach space, let C be a nonempty closed convex subset of E, let
{
T
n
}
:
C
→
C
be a countable family of weak relatively nonexpansive mappings such that
F
=
⋂
n
=
1
∞
F
(
T
n
)
≠
∅
. For any given gauss
x
0
∈
C
, define a sequence
{
x
n
}
in C by the following algorithm:
{
C
0
=
C
,
C
n
+
1
=
{
z
∈
C
n
:
ϕ
(
z
,
T
n
x
n
)
=
ϕ
(
z
,
x
n
)
}
,
n
=
0
,
1
,
2
,
3
,
…
,
x
n
+
1
=
Π
C
n
+
1
x
0
.
Then
{
x
n
}
converges strongly to
q
=
Π
F
x
0
.
MSC:47H05, 47H09, 47H10.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference36 articles.
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