Title
On the need for hybrid steps in hybrid proximal point methods
Abstract
We show that the hybrid steps on the hybrid proximal point methods, allowing for constant relative errors, are necessary in order to ensure boundedness of the iterates, even in the optimization case. Moreover, we show that such conditions do not imply that the sequence of errors becomes summable ''a posteriori''.
Year
DOI
Venue
2001
10.1016/S0167-6377(01)00101-8
Oper. Res. Lett.
Keywords
Field
DocType
relative error,inexact solutions,hybrid steps,optimization case,constant relative error,proximal point method,hybrid step,hybrid proximal point method
Proximal point method,Mathematical optimization,Combinatorics,Proximal point,A priori and a posteriori,Iterated function,Approximation error,Mathematics
Journal
Volume
Issue
ISSN
29
5
Operations Research Letters
Citations 
PageRank 
References 
1
0.36
1
Authors
3
Name
Order
Citations
PageRank
O.Rolando GáRciga110.36
Alfredo Iusem2142.24
B. F. Svaiter360872.74