53 citations · 77 across the 27 of their papers we have counts for
13 papers · 1 filter
Quantitative results on the Ishikawa iteration of Lipschitz pseudo-contractions
Laurentiu Leustean, Vlad Radu, Andrei Sipos
We compute uniform rates of metastability for the Ishikawa iteration of a Lipschitz pseudo-contractive self-mapping of a compact convex subset of a Hilbert space. This extraction i…
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.
A rate of asymptotic regularity for the Mann iteration of -strict pseudo-contractions
Daniel Ivan, Laurentiu Leustean
In this paper we apply methods of proof mining to obtain a uniform effective rate of asymptotic regularity for the Mann iteration associated to -strict pseudo-contractions on co…
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…
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…
Firmly nonexpansive mappings in classes of geodesic spaces
David Ariza-Ruiz, Laurentiu Leustean, Genaro Lopez-Acedo
Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators. In this paper we do a…