Coderivatives of implicit multifunctions and stability of variational systems

Nguyen Thanh Qui ()
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Nguyen Thanh Qui: Can Tho University

Journal of Global Optimization, 2016, vol. 65, issue 3, No 10, 615-635

Abstract: Abstract We establish formulas for computing/estimating the regular and Mordukhovich coderivatives of implicit multifunctions defined by generalized equations in Asplund spaces. These formulas are applied to obtain conditions for solution stability of parametric variational systems over perturbed smooth-boundary constraint sets.

Keywords: Coderivative; Generalized equation; Implicit multifunction; Local Lipschitz-like property; Normal cone operator; Variational system; 49J53; 49J52; 49J40 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-015-0387-z

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