G-convergence of monotone operators

Valeria Chiado'Piat; Gianni Dal Maso; Anneliese Defranceschi

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The paper deals with the existence of solutions of the form $A u = b$ with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions $S$ and $M$ . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition ${(M)}_{0}$ . The second part which has a character of a survey compares various...

Piecewise atone interpolation of monotone operators

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Norm-to-weak upper semicontinuous monotone operators are generically strongly continuous.

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Lectures on maximal monotone operators.

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