5 citations · 15 across the 13 of their papers we have counts for
3 papers · 1 filter
"Lion-Man" and the Fixed Point Property
Genaro López-Acedo, Adriana Nicolae, Bożena Piątek
This paper focuses on the relation between the fixed point property for continuous mappings and a discrete lion and man game played in a strongly convex domain. Our main result sta…
An abstract proximal point algorithm
Laurentiu Leustean, Adriana Nicolae, Andrei Sipos
The proximal point algorithm is a widely used tool for solving a variety of convex optimization problems such as finding zeros of maximally monotone operators, fixed points of none…
Moduli of regularity and rates of convergence for Fejér monotone sequences
Ulrich Kohlenbach, Genaro López-Acedo, Adriana Nicolae
In this paper we introduce the concept of modulus of regularity as a tool to analyze the speed of convergence, including the finite termination, for classes of Fejér monotone seque…