Limits of maximal monotone operators driven by their representative functions

Autor:	Garcia, Yboon, Lassonde, Marc
Rok vydání:	2017
Předmět:	Mathematics - Optimization and Control 47H05 (Primary) 49J52 47N10 (Secondary)
Druh dokumentu:	Working Paper
Popis:	In a previous paper, the authors showed that in a reflexive Banach space the lower limit of a sequence of maximal monotone operators is always representable by a convex function. The present paper gives precisions to the latter result by demonstrating the continuity of the representation with respect to the epi-convergence of the representative functions, and the stability of the class of maximal monotone operators with respect to the Mosco-convergence of their representative functions. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.08931 Zobrazit plný text záznamu View this record from Arxiv