Stability of Implicit Multifunctions in Banach Spaces

N. Q. Huy (), D. S. Kim () and K. V. Ninh ()
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N. Q. Huy: Hanoi Pedagogical University No. 2
D. S. Kim: Pukyong National University
K. V. Ninh: Hanoi Pedagogical University No. 2

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 11, 558-571

Abstract: Abstract This paper is devoted to present new sufficient conditions for both the metric regularity in the Robinson’s sense and the Lipschitz-like property in the Aubin’s sense of implicit multifunctions in general Banach spaces. The basic tools of our analysis involve the Clarke subdifferential, the Clarke coderivative of set-valued mappings, and the Ekeland variational principle. The metric regularity of implicit multifunction is compared with the Lipschitz-like property.

Keywords: Implicit multifunction; Robinson metric regularity; Aubin Lipschitz-like property; Clarke subdifferential; Clarke coderivative; Ekeland variational principle (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-012-0058-x

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