Abstract
The purpose of this paper is to present new sufficient conditions for both the metric regularity and the Lipschitzian stability of implicit multifunctions in Asplund spaces. The basic tools of our analysis involve the Fr´echet normal coderivative and the Mordukhovich normal coderivative of set-valued mappings, the basic subgradient estimate for marginal functions and the Ekeland variational principle. Applications to the pointbased characterizations for the metric regularity and the Lipschitzian stability of solution mapping of parametric generalized equations are given.
Citation
N. Q. Huy. J.-C. Yao. "STABILITY OF IMPLICIT MULTIFUNCTIONS IN ASPLUND SPACES." Taiwanese J. Math. 13 (1) 47 - 65, 2009. https://doi.org/10.11650/twjm/1500405272
Information
