  This paper aims to provide various applications for second-order variational
analysis of extended-real-valued piecewise liner functions recently obtained in
[1]. We mainly focus here on establishing relationships between full stability
of local minimizers in composite optimization and Robinson's strong regularity
of associated (linearized and nonlinearized) KKT systems. Finally, we address
Lipschitzian stability of parametric variational systems with convex piecewise
linear potentials.
