5 citations · 15 across the 13 of their papers we have counts for
7 papers · 1 filter
Quantitative asymptotic regularity results for the composition of two mappings
Ulrich Kohlenbach, Genaro Lopez-Acedo, Adriana Nicolae
In this paper, we use techniques which originate from proof mining to give rates of asymptotic regularity and metastability for a sequence associated to the composition of two firm…
A note on an alternative iterative method for nonexpansive mappings
Laurentiu Leustean, Adriana Nicolae
In this note we point out that results on the asymptotic behaviour of an alternative iterative method are corollaries of corresponding results on the well-known Halpern iteration.
The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings
David Ariza-Ruiz, Genaro López-Acedo, Adriana Nicolae
In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direct…
Effective results on compositions of nonexpansive mappings
Laurentiu Leustean, Adriana Nicolae
This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive mappings. We obtain our quantitative results in the set…
Best proximity pair results for relatively nonexpansive mappings in geodesic spaces
Aurora Fernandez Leon, Adriana Nicolae
Given and two nonempty subsets in a metric space, a mapping is relatively nonexpansive if $d(Tx,Ty) \leq d(x,y) \text{for every} x\in A,…
Effective results on nonlinear ergodic averages in CAT spaces
Laurentiu Leustean, Adriana Nicolae
In this paper we apply proof mining techniques to compute, in the setting of CAT spaces (with ), effective and highly uniform rates of asymptotic regularity and metastabi…
Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces
Adriana Nicolae
We further study averaged and firmly nonexpansive mappings in the setting of geodesic spaces with a main focus on the asymptotic behavior of their Picard iterates. We use methods o…