caa a22 4500 463169700 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10957-007-9209-x doi (NATIONALLICENCE)springer-10.1007/s10957-007-9209-x Necessary Conditions in Multiobjective Optimization with Equilibrium Constraints [Elektronische Daten] [T. Bao, P. Gupta, B. Mordukhovich] We study multiobjective optimization problems with equilibrium constraints (MOPECs) described by parametric generalized equations in the form $$0\in G(x,y)+Q(x,y),$$ where both mappings G and Q are set-valued. Such models arise particularly from certain optimization-related problems governed by variational inequalities and first-order optimality conditions in nondifferentiable programming. We establish verifiable necessary conditions for the general problems under consideration and for their important specifications by using modern tools of variational analysis and generalized differentiation. The application of the obtained necessary optimality conditions is illustrated by a numerical example from bilevel programming with convex while nondifferentiable data. Springer Science+Business Media, LLC, 2007 Variational analysis nationallicence Nonsmooth and multiobjective optimization nationallicence Variational inequalities nationallicence Equilibrium constraints nationallicence Bilevel programming nationallicence Necessary optimality conditions nationallicence Generalized differentiation nationallicence Bao T. Department of Mathematics, Wayne State University, Detroit, MI, USA aut Gupta P. Department of Operational Research, University of Delhi, Delhi, India aut Mordukhovich B. Department of Mathematics, Wayne State University, Detroit, MI, USA aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/2(2007-11-01), 179-203 0022-3239 135:2<179 2007 135 10957 https://doi.org/10.1007/s10957-007-9209-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9209-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bao T. Department of Mathematics, Wayne State University, Detroit, MI, USA aut NATIONALLICENCE 700 1- Gupta P. Department of Operational Research, University of Delhi, Delhi, India aut NATIONALLICENCE 700 1- Mordukhovich B. Department of Mathematics, Wayne State University, Detroit, MI, USA aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/2(2007-11-01), 179-203 0022-3239 135:2<179 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer