A Relaxed Constant Positive Linear Dependence Constraint Qualification for Mathematical Programs with Equilibrium Constraints

Nguyen Huy Chieu () and Gue Myung Lee ()
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Nguyen Huy Chieu: Vinh University
Gue Myung Lee: Pukyong National University

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 1, No 2, 32 pages

Abstract: Abstract We introduce a relaxed version of the constant positive linear dependence constraint qualification for mathematical programs with equilibrium constraints (MPEC). This condition is weaker but easier to check than the MPEC constant positive linear dependence constraint qualification, and stronger than the MPEC Abadie constraint qualification (thus, it is an MPEC constraint qualification for M-stationarity). Neither the new constraint qualification implies the MPEC generalized quasinormality, nor the MPEC generalized quasinormality implies the new constraint qualification. The new one ensures the validity of the local MPEC error bound under certain additional assumptions. We also have improved some recent results on the existence of a local error bound in the standard nonlinear program.

Keywords: Mathematical programs with equilibrium constraints; Constraint qualifications; Error bounds; Piecewise programming approach (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10957-012-0227-y

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