A Tseng's type penalty scheme for solving inclusion problems involving linearly composed and parallel-sum type monotone operators

DOI10.1007/s10013-013-0050-2zbMath1302.47087OpenAlexW2009729943MaRDI QIDQ484480

Radu Ioan Boţ, Ernö Robert Csetnek

Publication date: 7 January 2015

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-013-0050-2

zbMATH Keywords

resolventsubdifferentialconvex minimization problemmaximally monotone operatorforward-backward-forward algorithmFenchel conjugateFitzpatrick functioninfimal-convolutionLipschitz continuous operatorparallel-sum

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Monotone operators and generalizations (47H05) Variational and other types of inclusions (47J22)

Related Items (10)

Penalty schemes with inertial effects for monotone inclusion problems ⋮ Levenberg-Marquardt dynamics associated to variational inequalities ⋮ Generalized forward-backward splitting with penalization for monotone inclusion problems ⋮ Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems ⋮ Backward penalty schemes for monotone inclusion problems ⋮ Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data ⋮ An inertial proximal-gradient penalization scheme for constrained convex optimization problems ⋮ A forward–backward penalty scheme with inertial effects for monotone inclusions. Applications to convex bilevel programming ⋮ A second-order dynamical system with Hessian-driven damping and penalty term associated to variational inequalities ⋮ Second-order dynamical systems associated to variational inequalities

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