Convergence theorems of finite-step iteration with errors for non-self asymptotically nonexpansive in the intermediate sense mappings
Keyword(s):
Let K be a nonempty closed convex nonexpansive retract of a uniformly convex Banach space E with P as a nonexpansive retraction. Let T : K ? E be non-self asymptotically nonexpansive in the intermediate sense mapping with F(T) = ?. Let {?ni}, {?ni} and {?ni} are sequences in [0, 1] with ?n(i) + ?n(i) + ?n(i) = 1 for all i = 1, 2, . . . , N. From arbitrary x1 ? K , define the sequence {xn } iteratively by (8), where {u(i) } for all i = 1, 2, . . . , N are bounded sequences in K with P? u(i) < ?. (i) If the dual E
1992 ◽
Vol 53
(1)
◽
pp. 25-38
2001 ◽
Vol 27
(11)
◽
pp. 653-662
◽
1999 ◽
Vol 22
(1)
◽
pp. 217-220
1991 ◽
Vol 43
(1)
◽
pp. 153-159
◽
1989 ◽
Vol 40
(1)
◽
pp. 113-117
◽
Keyword(s):
1976 ◽
Vol 15
(1)
◽
pp. 87-96