Proximal penalty-duality algorithms for mixed optimality conditions

DOI10.1007/s11784-016-0305-0zbMath1380.49042OpenAlexW2528839908MaRDI QIDQ1687158

Gonzalo Alduncin

Publication date: 22 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0305-0

zbMATH Keywords

maximal monotone operatoroptimality conditionconstrained optimal control problemevolution mixed variational inclusionproximation penalty-duality algorithmresolvent fixed point variational characterization

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Set-valued and variational analysis (49J53) Numerical solutions to abstract evolution equations (65J08)

Related Items (5)

Macro-hybrid dual optimal control of transport flow through elastoviscoplastic porous media ⋮ Optimality condition analysis of macro-hybrid mixed variational inclusions ⋮ Variational interior and interface transmission conditions: multidomain mixed Darcy/Stokes control problems ⋮ Multidomain optimal control of variational subpotential mixed evolution inclusions ⋮ Dual evolution mixed variational analysis of multiphase flow in the subsurface

Cites Work

• Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality
• Composition duality methods for mixed variational inclusions
• Variational formulations of nonlinear constrained boundary value problems
• Nonsmooth analysis
• Extension problems for accretive sets in Banach spaces
• Evolution hemivariational inequalities in infinite dimension and their control.
• On Gabay's algorithms for mixed variational inequalities
• Optimal control of evolution mixed variational inclusions
• Composition duality methods for evolution mixed variational inclusions
• Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
• The Asymptotic Behavior of Firmly Nonexpansive Mappings
• Optimal Control of Nonlinear Transport-Flow Mixed Variational Problems
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