A Recession Notion for a Class of Monotone Bivariate Functions

Abdellatif Moudafi (1)

1 D.M.I. - Département de Mathématiques et Informatique

Using monotone bifunctions, we introduce a recession concept for general equilibrium problems relying on a variational convergence notion. The interesting purpose is to extend some results of P. L. Lions on variational problems. In the process we generalize some results by H. Brezis and H. Attouch relative to the convergence of the resolvents associated with maximal monotone operators.

Mots clés: Bivariate function; recession notion; Yosida approximate; variational convergence; convex optimization; maximal monotone operators

Domaines: Optimisation et contrôle [math.OC]

Abdellatif Moudafi. A Recession Notion for a Class of Monotone Bivariate Functions. Serdica Mathematical Journal, 2002, 26 (3), pp.207-220. ⟨hal-00776626⟩