Department of Applied Mathematics & Physics, Kyoto University

Technical Report 2001-007 (September 14, 2001) Some Exact Penalty Results for Nonlinear Programs and Their Applications to Mathematical Programs with Equilibrium Constraints by Gui-Hua Lin and Masao Fukushima

Recently, some exact penalty results for nonlinear programs, especially for mathematical programs with equilibrium constraints were proved by Luo, Pang, and Ralph. In this paper, we will show that those results remain valid under some other mild conditions. Especially, one of these conditions, called strong convexity with order $\sigma$, is discussed in detail.