Topological degree for maximal monotone operators and application to parametric optimization problems.

Riahi, Hassan

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Displaying similar documents to “Topological degree for maximal monotone operators and application to parametric optimization problems.”

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We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.

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These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.

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