On the need for hybrid steps in hybrid proximal point methods

Operations Research Letters

Volumn 29, Issue 5, 2001, Pages 217-220

  Gárciga, O Rolando ^a   Iusem, Alfredo ^a   Svaiter, B F ^a  

^a IMPA   (Brazil)

Author keywords

Hybrid steps; Inexact solutions; Proximal point method; Relative error

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; ITERATIVE METHODS; OPTIMIZATION; THEOREM PROVING;

HILBERT SPACES; PROXIMAL POINT METHODS;

OPERATIONS RESEARCH;

EID: 0035687762     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6377(01)00101-8     Document Type: Article

References (9)

1. Enlargement of monotone operators with applications to variational inequalities
2. On the convergence of the proximal point algorithm for convex minimization
3. Two observations about the method of successive approximations
4. Régularisation d'inéquations variationnelles par approximations successives
5. Proximité et dualité dans un espace hilbertien
6. Monotone operators and the proximal point algorithm
7. A hybrid projection-proximal point algorithm
8. An inexact hybrid generalized proximal point algorithms and some new results on the theory of Bregman functions
9. An inexact hybrid extragradient-proximal point algorithm using the enlargement of a maximal monotone operator