This paper investigates generalized differentiation of normal cone operators to parametric
smooth-boundary sets in Asplund spaces. We obtain formulas for computing the Fréchet and …

The Lipschitz-like property and the metric regularity in the sense of Robinson of the solution
map of a parametric linear constraint system are investigated thoroughly by means of normal …

This paper establishes an exact formula for the Fréchet coderivative and some estimates for
the Mordukhovich coderivative of the linearly perturbed normal cone mappings in reflexive …

Under a mild regularity assumption, we derive an exact formula for the Fréchet coderivative
and some estimates for the Mordukhovich coderivative of the normal cone mappings of …

This paper establishes an upper estimate for the Fréchet normal cone to the graph of the
nonlinearly perturbed polyhedral normal cone mappings in finite dimensional spaces. Under …

By applying some theorems of Levy and Mordukhovich (Math Program 99: 311–327, 2004)
and other related results, we estimate the Fréchet coderivative and the Mordukhovich …

In this paper we investigate the Lipschitz-like property of the solution mapping of parametric
variational inequalities over perturbed polyhedral convex sets. By establishing some lower …

This paper studies solution stability of generalized equations over polyhedral convex sets.
An exact formula for computing the Mordukhovich coderivative of normal cone operators to …

By applying some theorems of Levy and Mordukhovich (Math Program 99: 311–327, 2004)
and other related results, we estimate the Fréchet coderivative and the Mordukhovich …

Motivated by solving optimization problems, the concept of derivative was first introduced by
Pierre de Fermat. It led to the Fermat stationary principle, which plays a crucial role in the …