Parametric Variational System with a Smooth-Boundary Constraint Set

J.-C. Yao () and N. D. Yen ()
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J.-C. Yao: National Sun Yat-Sen University
N. D. Yen: Vietnamese Academy of Science and Technology

A chapter in Variational Analysis and Generalized Differentiation in Optimization and Control, 2010, pp 205-221 from Springer

Abstract: Abstract Solution stability of parametric variational systems with smooth-boundary constraint sets is investigated. Sufficient conditions for the lower semicontinuity, Lipschitz-like property, and local metric regularity in Robinson’s sense of the solution map are obtained by using a calculus rule for the normal second-order subdifferential from B.S. Mordukhovich (Variational Analysis and Generalized Differentiation, Vol.I: Basic Theory, Vol.II: Applications, Springer, Berlin, 2006) and the implicit function theorems for multifunctions from G.M. Lee, N.N. Tam and N.D. Yen (J Math Anal Appl 338:11–22, 2008).

Keywords: Banach Space; Variational Inequality; Lower Semicontinuous; Implicit Function Theorem; Norm Topology (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-1-4419-0437-9_11

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