Visco-penalization of the sum of two monotone operators

DOI10.1016/j.na.2007.06.003zbMath1168.47040OpenAlexW2023021621MaRDI QIDQ939421

Sever A. Hirstoaga, Patrick L. Combettes

Publication date: 22 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.06.003

zbMATH Keywords

variational inequalitypenalizationmonotone operatorviscosityYosida approximationapproximating curve

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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Parallel algorithms for variational inclusions and fixed points with applications ⋮ Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects ⋮ Approximating iterations for nonexpansive and maximal monotone operators ⋮ Existence and approximation of solutions for generalized extended nonlinear variational inequalities ⋮ On the asymptotic behaviour of the Aragón Artacho-Campoy algorithm

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