53 citations · 59 across the 4 of their papers we have counts for
5 papers
Nonexpansive iterations in uniformly convex -hyperbolic spaces
Laurentiu Leustean
We propose the class of uniformly convex -hyperbolic spaces with monotone modulus of uniform convexity (-hyperbolic spaces for short) as an appropriate setting for the stud…
A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces
Ulrich Kohlenbach, Laurentiu Leustean
We provide an explicit uniform bound on the local stability of ergodic averages in uniformly convex Banach spaces. Our result can also be viewed as a finitary version in the sense…
Proof mining in -trees and hyperbolic spaces
Laurentiu Leustean
This paper is part of the general project of proof mining, developed by Kohlenbach. By "proof mining" we mean the logical analysis of mathematical proofs with the aim of extracting…
Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings
Laurentiu Leustean
In this paper we obtain new effective results on the Halpern iterations of nonexpansive mappings using methods from mathematical logic or, more specifically, proof-theoretic techni…
Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
Ulrich Kohlenbach, Laurentiu Leustean
This paper provides a fixed point theorem for asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces as well as new effective results on the Krasnoselski-Mann i…