2 research outputs found
Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections
In this paper, a strong convergence theorem for asymptotically nonexpansive
mappings in a uniformly convex and smooth Banach space is proved by using
metric projections. This theorem extends and improves the recent strong
convergence theorem due to Matsushita and Takahashi [
Appl. Math. Comput. 196 (2008) 422-425] which was established for
nonexpansive mappings
Strong Convergence Theorems for a Finite Family of λ
A new hybrid projection algorithm is considered for a finite family of λi-strict
pseudocontractions. Using the metric projection, some strong convergence theorems of common
elements are obtained in a uniformly convex and 2-uniformly smooth Banach space. The results
presented in this paper improve and extend the corresponding results of Matsushita and Takahshi, 2008, Kang and Wang, 2011, and many others