Approximation of Common Fixed Points of Non-self Asymptotically Nonexpansive Mappings
Jong Kyu Kim, Samir Dashputre, Shailesh Dhar Diwan · East Asian Mathematical Journal · 2009
Let E be a uniformly convex Banach space and K a nonempty closed convex subset which is also a nonexpansive retract of E. For i = 1, 2, 3, let be an asymptotically nonexpansive mappings with sequence such that , as and F(T)= (the set of all common xed points of , i = 1, 2, 3). Let {},{} and {} are three real sequences in [0, 1] such that for and some . Starting with arbitrary , define sequence {} by setting { . Assume that one of the following conditions holds: (1) E satises the Opial property, (2) E has Frechet dierentiable norm, (3) has Kedec -Klee property, where is dual of E. Then sequence {} converges weakly to some pF(T).