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Lectures on maximal monotone operators.

R. R. Phelps (1997)

Extracta Mathematicae

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

Locally Lipschitz vector optimization with inequality and equality constraints

Ivan Ginchev, Angelo Guerraggio, Matteo Rocca (2010)

Applications of Mathematics

The present paper studies the following constrained vector optimization problem: min C f ( x ) , g ( x ) - K , h ( x ) = 0 , where f : n m , g : n p are locally Lipschitz functions, h : n q is C 1 function, and C m and K p are closed convex cones. Two types of solutions are important for the consideration, namely w -minimizers (weakly efficient points) and i -minimizers (isolated minimizers of order 1). In terms of the Dini directional derivative first-order necessary conditions for a point x 0 to be a w -minimizer and first-order sufficient conditions for x 0 ...

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