On the convergence of fixed points for Lipschitz type mappings in hyperbolic spaces

Abstract

In this paper, we prove strong and -convergence theorems for a class of mappings which is essentially wider than that of asymptotically nonexpansive mappings on hyperbolic space through the S-iteration process introduced by Agarwal et al. (J. Nonlinear Convex Anal. 8:61-79, 2007) which is faster and independent of the Mann (Proc.

On fixed point convergence results for class of nonexpansivemappings in hyperbolic spaces via PJ iteration process

“…Many researchers attracted in the direction of approximating the fixed points of nonexpansive mapping and its generalized form [4,5,9,14,16,17,19,20,21,30] in a hyperbolic space.…”

On Some Strong and Δ- Convergence Results for SKC Mappings in Hyperbolic Spaces

“…x be a bounded sequence in a metric space X. We define a functional (.,{ }) : Many authors have studied the strong and △convergence of various iterative schemes in hyperbolic spaces (see [1], [6], [20], [21], [22], [23], [24]). In the next section, we establish strong and △convergence of S-iterative scheme in hyperbolic spaces for SKC mappings.…”

Convergence results for nearly asymptotically quasi-nonexpansive mappings in hyperbolic spaces

“…Definition 2.3. ( [15]) Let K be a nonempty subset of a metric space (X, d) and fix a sequence {a n } ⊂ [0, ∞) with lim n→∞ a n = 0. A mapping T : K → K said to be nearly asymptotically quasi-nonexpansive with respect to {a n } if F (T ) = ∅ and there exists a sequence…”