Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems

[1]  Radu Ioan Bot,et al.  Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems , 2015, SIAM J. Control. Optim..

[2]  R. Boţ,et al.  Convergence rates for forward-backward dynamical systems associated with strongly monotone inclusions , 2015, 1504.01863.

[3]  Radu Ioan Bot,et al.  A forward-backward-forward differential equation and its asymptotic properties , 2015, 1503.07728.

[4]  Radu Ioan Bot,et al.  Backward Penalty Schemes for Monotone Inclusion Problems , 2014, J. Optim. Theory Appl..

[5]  R. Boţ,et al.  A Tseng’s Type Penalty Scheme for Solving Inclusion Problems Involving Linearly Composed and Parallel-Sum Type Monotone Operators , 2014 .

[6]  Ernö Robert Csetnek,et al.  A Dynamical System Associated with the Fixed Points Set of a Nonexpansive Operator , 2014, 1411.4442.

[7]  Benar Fux Svaiter,et al.  Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces , 2014, J. Optim. Theory Appl..

[8]  H. Attouch,et al.  Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator , 2014, 1403.6312.

[9]  R. Boţ,et al.  Forward-Backward and Tseng’s Type Penalty Schemes for Monotone Inclusion Problems , 2013, 1306.0352.

[10]  Juan Peypouquet,et al.  Forward–Backward Penalty Scheme for Constrained Convex Minimization Without Inf-Compactness , 2013, J. Optim. Theory Appl..

[11]  Juan Peypouquet,et al.  Coupling the Gradient Method with a General Exterior Penalization Scheme for Convex Minimization , 2012, J. Optim. Theory Appl..

[12]  Juan Peypouquet,et al.  Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities , 2011, SIAM J. Optim..

[13]  Heinz H. Bauschke,et al.  Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.

[14]  Benar Fux Svaiter,et al.  A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions , 2011, SIAM J. Control. Optim..

[15]  Juan Peypouquet,et al.  Prox-Penalization and Splitting Methods for Constrained Variational Problems , 2011, SIAM J. Optim..

[16]  J. Borwein,et al.  Convex Functions: Constructions, Characterizations and Counterexamples , 2010 .

[17]  R. Boţ,et al.  Conjugate Duality in Convex Optimization , 2010 .

[18]  S. Sorin,et al.  Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time , 2009, 0905.1270.

[19]  H. Attouch,et al.  Asymptotic behavior of coupled dynamical systems with multiscale aspects , 2009, 0904.0397.

[20]  R. Boţ,et al.  An Application of the Bivariate Inf-Convolution Formula to Enlargements of Monotone Operators , 2008 .

[21]  S. Simons.  From Hahn-Banach to monotonicity , 2008 .

[22]  J. Borwein.  Maximal Monotonicity via Convex Analysis , 2006 .

[23]  Hristo S. Sendov,et al.  Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Fitzpatrick , 2005 .

[24]  J. Bolte.  Continuous Gradient Projection Method in Hilbert Spaces , 2003 .

[25]  A. Antipin,et al.  MINIMIZATION OF CONVEX FUNCTIONS ON CONVEX SETS BY MEANS OF DIFFERENTIAL EQUATIONS , 2003 .

[26]  Benar Fux Svaiter,et al.  Maximal Monotone Operators, Convex Functions and a Special Family of Enlargements , 2002 .

[27]  C. Zălinescu.  Convex analysis in general vector spaces , 2002 .

[28]  A. Haraux,et al.  Systèmes dynamiques dissipatifs et applications , 1991 .

[29]  Eduardo D. Sontag,et al.  Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .

[30]  S. Fitzpatrick.  Representing monotone operators by convex functions , 1988 .

[31]  Ronald E. Bruck.  Asymptotic convergence of nonlinear contraction semigroups in Hilbert space , 1975 .

[32]  H. Brezis.  Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert , 1973 .