Regularized nonconvex mixed variational inequalities: auxiliary principle technique and iterative methods

DOI10.1007/s10957-016-1046-3OpenAlexW2565418026MaRDI QIDQ2397464

Javad Balooee

Publication date: 22 May 2017

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

Full work available at URL: https://doi.org/10.1007/s10957-016-1046-3

zbMATH Keywords

convergence analysispredictor-corrector methodsauxiliary principle techniqueprox-regularitynonconvex setsregularized nonconvex mixed variational inequalities

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)

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General regularized nonconvex mixed equilibrium problems: iterative methods by auxiliary principle technique ⋮ Two fast variance-reduced proximal gradient algorithms for SMVIPs -- stochastic mixed variational inequality problems with suitable applications to stochastic network games and traffic assignment problems ⋮ Variational inclusion problem and total asymptotically nonexpansive mapping: graph convergence, algorithms and approximation of common solutions ⋮ Auxiliary principle for a system of generalized set-valued nonlinear mixed variational-like inequalities in Banach spaces ⋮ Tikhonov type regularization methods for inverse mixed variational inequalities ⋮ Auxiliary principle technique for solving regularized nonconvex set-valued mixed variational inequalities ⋮ Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces

Cites Work

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