Characterization of quadratic growth of extended-real-valued functions

Journal of inequalities and applications

Jin jiang Wang¹ 

关键词: quadratic growth;    Mordukhovich (limiting) subdifferential;    strong metric regularity;    strong metric subregularity;    prox-regular;    49J53;    14P10;    54C60;    65K10;   

DOI  :  10.1186/s13660-016-0977-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY