Two New Weak Constraint Qualifications for Mathematical Programs with Equilibrium Constraints and Applications

Alberto Ramos ()
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Alberto Ramos: Federal University of Paraná

Journal of Optimization Theory and Applications, 2019, vol. 183, issue 2, No 9, 566-591

Abstract: Abstract In this paper, we introduce two new constraint qualifications for mathematical programs with equilibrium constraints. One of them is a relaxed version of the No Nonzero Abnormal Multiplier Constraint Qualification, and the other is an adaptation of the Constant Rank of Subspace Component. The new conditions have nice properties. Indeed, they have the local preservation property and imply the error bound property under mild assumptions. Thus, they can be used to extend some known results on stability and sensitivity analysis. Furthermore, they can also be used in the convergence analysis of several methods for solving mathematical programs with equilibrium constraints.

Keywords: Mathematical program with equilibrium constraints; Constraint qualification; Error bound property; Mordukhovich stationarity; Local preservation property; 90C46; 90C30; 90C33 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-019-01561-4

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