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SIAMJO
2010
92views more  SIAMJO 2010»
12 years 11 months ago
Inexact Proximal Point Methods for Variational Inequality Problems
We present a new family of proximal point methods for solving monotone variational inequalities. Our algorithm has a relative error tolerance criterion in solving the proximal subp...
Regina Sandra Burachik, Joydeep Dutta
SIAMJO
2008
79views more  SIAMJO 2008»
13 years 4 months ago
A Class of Inexact Variable Metric Proximal Point Algorithms
For the problem of solving maximal monotone inclusions, we present a rather general class of algorithms, which contains hybrid inexact proximal point methods as a special case and ...
Lisandro A. Parente, Pablo A. Lotito, Mikhail V. S...
JGO
2010
72views more  JGO 2010»
13 years 3 months ago
Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point prob
The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points F(S) of a nonexpansive mapping S and the set of solutions ΩA of t...
Lu-Chuan Ceng, Nicolas Hadjisavvas, Ngai-Ching Won...
MOR
2010
120views more  MOR 2010»
13 years 3 months ago
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz In
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x, y) = f(x)+Q(x, y)+g(y), where f : Rn → ...
Hedy Attouch, Jérôme Bolte, Patrick R...
SIAMJO
2011
12 years 11 months ago
Prox-Penalization and Splitting Methods for Constrained Variational Problems
This paper is concerned with the study of a class of prox-penalization methods for solving variational inequalities of the form Ax + NC (x) 0 where H is a real Hilbert space, A : H...
Hedy Attouch, Marc-Olivier Czarnecki, Juan Peypouq...