Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
2013 ◽
Vol 21
(1)
◽
pp. 183-200
Keyword(s):
Abstract In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gˆateaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0,∞). Using this result, strong convergence theorems for common fixed points of a countable family of nonexpansive mappings are established.
2015 ◽
Vol 08
(03)
◽
pp. 1550060
2013 ◽
Vol 21
(1)
◽
pp. 261-276
1999 ◽
Vol 22
(1)
◽
pp. 217-220
1991 ◽
Vol 43
(1)
◽
pp. 153-159
◽
2013 ◽
Vol 756-759
◽
pp. 3628-3633