Strong convergence of new iterative algorithms for certain classes of asymptotically pseudocontractions

Abstract

Let C be a nonempty closed convex subset of a real Hilbert space, and let T : C → C be an asymptotically k-strictly pseudocontractive mapping with F(T) = {x ∈ C : Tx = x} = ∅. Let {α n }

Strong convergence of modified Ishikawa iterative-type algorithm in CAT(0) spaces

“…Our result improve and extend the results of Liu and Chang [17], and Pakkaranang and Kumam [16] respectively without assuming completely continuous on the operator and results of Kim [11] without assuming completely continuous on operator and boundedness on the space. Our result also extends and generalizes the results of Osilike et al [19].…”

“…On the other hand, in 2013, Osilike et al [19] introduced a modified Ishikawa iterative scheme in the Hilbert space as follows: For an arbitrary x ∈ C, the sequence {x n }, given by…”