Strong and weak convergence theorems for asymptotically nonexpansive mappings

A new iterative scheme in CAT(0) spaces with convergence analysis

“…Our results extend, improve, and generalize the corresponding results of [4,7,8,11,16,19,23,28,30,32,36,38] and many others.…”

“…(i) In view of Remark 2.3, Theorems 3.1, 3.4, and 3.8 extend the corresponding results of Chidume et al [8] from Banach spaces to CAT(0) spaces. They also extend the corresponding results of Dhompongsa et al [11] from the class of nonexpansive mappings to the class of total asymptotically nonexpansive non-self-mappings.…”

Weak convergence theorems for nearly asymptotically nonexpansive mappings and asymptotically nonexpansive non-self mappings in uniformly convex Banach spaces

“…Our results extend and generalize the corresponding results of [3]- [6] [11]- [17], and many others from the existing literature to the case of more general class of mappings and newly proposed hybrid mixed type iteration scheme considered in this paper.…”

“…Chidume et al [3] introduced the concept of non-self asymptotically nonexpansive mappings as follows.…”

Weak convergence theorems for two asymptotically quasi-nonexpansive non-self mappings in uniformly convex Banach spaces

“…(i) asymptotically nonexpansive [5] if there exists a sequence {k n } ⊂ [1, ∞) with k n → 1 as n → ∞ such that for all x, y ∈ K, the following inequality holds:…”