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Displaying similar documents to “New Embeddings for Nonlinear Multiobjective Optimization Problem”

A modified standard embedding for linear complementarity problems

Sira Allende Allonso, Jürgen Guddat, Dieter Nowack (2004)

Kybernetika

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We propose a modified standard embedding for solving the linear complementarity problem (LCP). This embedding is a special one-parametric optimization problem P ( t ) , t ∈ [ 0 , 1 ] . Under the conditions (A3) (the Mangasarian–Fromovitz Constraint Qualification is satisfied for the feasible set M ( t ) depending on the parameter t ), (A4) ( P ( t ) is Jongen–Jonker– Twilt regular) and two technical assumptions, (A1) and (A2), there exists a path in the set of stationary points connecting the chosen starting point for P ( 0 ) ...

Optimality conditions for a class of mathematical programs with equilibrium constraints: strongly regular case

Jiří V. Outrata (1999)

Kybernetika

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The paper deals with mathematical programs, where parameter-dependent nonlinear complementarity problems arise as side constraints. Using the generalized differential calculus for nonsmooth and set-valued mappings due to B. Mordukhovich, we compute the so-called coderivative of the map assigning the parameter the (set of) solutions to the respective complementarity problem. This enables, in particular, to derive useful 1st-order necessary optimality conditions, provided the complementarity...