This paper shows that the sharpest possible bound in the second-order growth condition of a proper lower semicontinuous function can be attained under some assumptions. We also establish a relationship among strong metric subregularity, quadratic growth, the positive-definiteness property of the second-order subdifferential/generalized Hessian, the strong metric regularity, and tilt stability in a finite-dimensional setting.
CITATION STYLE
Wang, J. jiang, & Song, W. (2016). Characterization of quadratic growth of extended-real-valued functions. Journal of Inequalities and Applications, 2016(1), 1–15. https://doi.org/10.1186/s13660-016-0977-4
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