STABILITY ANALYSIS OF PARAMETRIC GENERALIZED EQUATIONS AND APPLICATIONS

Yongchao Liu ()
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Yongchao Liu: Department of Mathematics, Dalian Maritime University, Dalian 116026, China

Asia-Pacific Journal of Operational Research (APJOR), 2013, vol. 30, issue 05, 1-16

Abstract: The paper studies the stability of parametric generalized equations (PGE) defined by adding two set-valued mappings. Under some moderate conditions, the open covering/metric regularity of the solution mapping of PGE are discussed. The results are used to analyze the stability of stochastic generalized equations and parametric mathematical programs with equilibrium constraints.

Keywords: Generalized equations; stability analysis; metric regularity; (S)MPEC (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:30:y:2013:i:05:n:s0217595913500176

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DOI: 10.1142/S0217595913500176

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