An inverse mapping theorem for H-differentibale set-valued maps

Michaël Gaydu (1) , Michel H. Geoffroy (1) , Célia Jean-Alexis (1)

1 LAMIA - Laboratoire de Mathématiques Informatique et Applications

Taking advantage of recent developments in the theory of generalized differentiation, we present an inverse mapping theorem for set-valued maps and prove its stability under small linear perturbations. Using variational convergences of set-valued mappings, we present as well an approximate version of our inverse theorem.

Domaines: Optimisation et contrôle [math.OC]

Michaël Gaydu, Michel H. Geoffroy, Célia Jean-Alexis. An inverse mapping theorem for H-differentibale set-valued maps. Journal of Mathematical Analysis and Applications, 2015, 421 (1), pp.298-313. ⟨10.1016/j.jmaa.2014.07.006⟩. ⟨hal-01023227⟩