Some Exact Penalty Results for Nonlinear Programs and Mathematical Programs with Equilibrium Constraints

G.H. Lin and M. Fukushima
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G.H. Lin: Kyoto University
M. Fukushima: Kyoto University

Journal of Optimization Theory and Applications, 2003, vol. 118, issue 1, No 5, 67-80

Abstract: Abstract Recently, some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints were proved by Luo, Pang, and Ralph (Ref. 1). In this paper, we show that those results remain valid under some other mild conditions. One of these conditions, called strong convexity with order σ, is discussed in detail.

Keywords: Mathematical programs with equilibrium constraints; nonlinear complementarity problems; subanalytic sets; subanalytic functions; Hölder continuity; strong convexity; error bounds (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (6)

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DOI: 10.1023/A:1024787424532

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