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Displaying similar documents to “Variational sum of monotone operators.”

An Extension of the Auxiliary Problem Principle to Nonsymmetric Auxiliary Operators

A. Renaud, G. Cohen (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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To find a zero of a maximal monotone operator, an extension of the Auxiliary Problem Principle to nonsymmetric auxiliary operators is proposed. The main convergence result supposes a relationship between the main operator and the nonsymmetric component of the auxiliary operator. When applied to the particular case of convex-concave functions, this result implies the convergence of the parallel version of the Arrow-Hurwicz algorithm under the assumptions of Lipschitz and partial...

On monotone nonlinear variational inequality problems

Ram U. Verma (1998)

Commentationes Mathematicae Universitatis Carolinae

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The solvability of a class of monotone nonlinear variational inequality problems in a reflexive Banach space setting is presented.