Common fixed points of a finite family of asymptotically pseudocontractive maps

Approximation of Common Fixed Points of a Finite Family of Asymptotically Demicontractive Mappings in Banach Spaces

By virtue of new analytic techniques, we analyze and study several strong convergence theorems for the approximation of common fixed points of asymptotically demicontractive mappings via the multistep iterative sequence with errors in Banach spaces. Our results improve and extend the corresponding ones announced by Osilike , Osilike and Aniagbosor, Igbokwe, Cho et al., Moore and Nnoli, Hu and a...

Explicit iteration method for common fixed points of a finite family of nonself asymptotically nonexpansive mappings

Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E , which is also a nonexpansive retract of E with nonexpansive retraction P . Let {Ti : i ∈ I } be N nonself asymptotically nonexpansive mappings from K to E such that F = {x ∈ K : Ti x = x, i ∈ I } 6= φ, where I = {1, 2, . . . , N }. From arbitrary x0 ∈ K , {xn} is defined by xn = P((1− αn)xn−1 + αnTn(PT...

Approximating Common Fixed Points of Finite Family of Asymptotically Nonexpansive Non-self Mappings

Let K be a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T1, T2, . . . , TN : K −→ E be N asymptotically nonexpansive nonself mappings with sequences {r n} such that ∑∞ n=1 r n < ∞, for all 1 ≤ i ≤ N and F = ∩i=1F (Ti) 6= φ. Let {α n}, {β n} and {γ n} are sequences in [0, 1] with α n + β i n + γ i n = 1 for all i =...

Convergence of an Implicit Iteration Process for a Finite Family of Total Asymptotically Pseudocontractive Maps

The Convergence Theorems for Common Fixed Points of Uniformly L-lipschitzian Asymptotically Φ-pseudocontractive Mappings

In this paper, we show that the modified Mann iteration with errors converges strongly to fixed point for uniformly L-Lipschitzian asymptotically Φ-pseudocontractive mappings in real Banach spaces. Meanwhile, it is proved that the convergence of Mann and Ishikawa iterations is equivalent for uniformly L-Lipschitzian asymptotically Φpseudocontractive mappings in real Banach spaces. Finally, we o...