Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
Published Online:1 Aug 1999https://doi.org/10.1287/moor.24.3.627
References
- Hierarchical optimization. Ann. Oper. Res. (1992) 34(Editors.)Crossref, Google Scholar
- Set-Valued Analysis (1990) (Birkhäuser, Boston) Google Scholar
- Optimization and Nonsmooth Analysis (1983) (Wiley, New York) Google Scholar
- , Du D., Qu L., Womersley R. On the solution of optimum design problems with variational inequalities. Recent Advances in Nonsmooth Optimization (1995) (World Scientific, Singapore) 172–192Crossref, Google Scholar
- , Ferris M., Pang J.-S. A nonsmooth approach to optimization problems with equilibrium constraints. Complementarity and Variational Problems (1997) (SIAM, Philadelphia, PA) 148–164Google Scholar
- A nonsmooth variant of the Mangasarian-Fromovitz constraint qualification. J. Optim. Theory Appl. (1994) 82:59–75Crossref, Google Scholar
- Mathematical Programs with Equilibrium Constraints (1996) (Cambridge University Press, Cambridge, UK) Crossref, Google Scholar
- Exact penalization and stationary conditions of mathematical programs with equilibrium constraints. Math. Programming (1996) 75:19–76Crossref, Google Scholar
- Approximation Methods in Problems of Optimization and Control (1988) (Nauka, Moscow, Russia. (in Russian; 2nd English edition to appear in Wiley-Interscience)) Google Scholar
- Generalized differential calculus for nonsmooth and set-valued mappings. J. Math. Anal. Appl. (1994) 183:250–288Crossref, Google Scholar
- Linear Complementarity, Linear and Nonlinear Programming (1988) (Heldermann, Berlin) Google Scholar
- On optimization problems with variational inequality constraints. SIAM J. Optim. (1994) 4:340–357Crossref, Google Scholar
- Strongly regular generalized equations. Math. Oper. Res. (1980) 5:43–62Link, Google Scholar
- General optimality conditions for bi-level optimization problems. (1997) . PreprintGoogle Scholar
- Optimality conditions for optimization problems with complementarity constraints. SIAM J. Optim. (1999) 9:374–387Crossref, Google Scholar
- Necessary optimality conditions for optimization problems with variational inequality constraints. Math. Oper. Res. (1997) 22:977–997Link, Google Scholar
- Optimality conditions for bilevel programming problems. Optimization (1995) 33:9–27Crossref, Google Scholar
- Exact penalization and necessary optimality conditions for generalized bilevel programming problems. SIAM J. Optim. (1997) 7:481–507Crossref, Google Scholar
- Problems of hierarchical optimization in finite dimensions. SIAM J. Optim. (1995) 4:521–536Crossref, Google Scholar

