Differential Stability for Parametric Nonsmooth Optimization
Received:August 17, 1988  
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Author NameAffiliation
Shi Guangyan Dalian University of Technology 
Ma Xiaoxian Dalian University of Technology 
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      This paper studies the continuous and differential properties of marginal functions or extremal value functions of nonsmooth optimization problems with vecter parameter . It gives the bounds of some directional derivatives of marginal functions for nonsmooth and nonconvex problems in which the target function and inequality constraints are Lipschitz and equality constraints are smooth. It is an extension of [ 1 ], and [ 4 ] from one-side perturbation to vecter parametric perturbation . It also considers an extension of [1] from smooth functions to nonsmooth functions.
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