On the maximality of the sum of two maximal monotone operators

DOI10.1016/0362-546X(81)90039-0zbMath0452.47059MaRDI QIDQ5904617

Hedy Attouch

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

maximal monotone operatorsconvexitysubdifferentialsduality methods in optimization

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Convexity of real functions of several variables, generalizations (26B25)

Related Items

A representation of maximal monotone operators by closed convex functions and its impact on calculus rules, The relevance of convex analysis for the study of monotonicity, Maximal monotonicity and cyclic monotonicity arising in nonsmooth Lur'e dynamical systems, Convergence of convex-concave saddle functions: Applications to convex programming and mechanics, On the maximal monotonicity and the range of the sum of nonlinear maximal monotone operators, Nonlinear differential problems with first- or second-order differences in Hilbert spaces, Natural closures, natural compositions and natural sums of monotone operators, Enlargements and sums of monotone operators, SURVEY: SIXTY YEARS OF DOUGLAS–RACHFORD, Uniqueness of the maximal extension of a monotone operator

Cites Work

• Image d'une somme d'opérateurs monotones et applications
• Mathematical methods of game and economic theory
• Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
• Perturbations of nonlinear maximal monotone sets in banach space
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