In this paper we establish new rules for the calculus of the subdifferential mapping of the sum of two convex functions. Our results are established under conditions which are at an intermediate level of generality among ...

In this paper, we prove a new version of the Second Welfare Theorem for economies with a finite number of agents and an infinite number of commodities, when the preference correspondences are not convex-valued and/or when ...

This paper was originally motivated by the problem of providing a point-based formula (only involving the nominal data, and not data in a neighborhood) for estimating the calmness modulus of the optimal set mapping in ...

The “heavy ball with friction” dynamical system u¨+γu˙+∇Φ(u)=0 is a non-linear oscillator with damping (γ > 0). In [2], Alvarez proved that when H is a real Hilbert space and Ф : H → ℝ is a smooth convex function whose ...