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.
Publié le : 2002-07-05
Classification:
Bivariate function,
recession notion,
Yosida approximate,
variational convergence,
convex optimization,
maximal monotone operators,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00776626,
author = {Moudafi, Abdellatif},
title = {A Recession Notion for a Class of Monotone Bivariate Functions},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00776626}
}
Moudafi, Abdellatif. A Recession Notion for a Class of Monotone Bivariate Functions. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00776626/