Limits of maximal monotone operators driven by their representative functions
Optimization and Control
2017-12-27 v1
Abstract
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.
Cite
@article{arxiv.1712.08931,
title = {Limits of maximal monotone operators driven by their representative functions},
author = {Yboon Garcia and Marc Lassonde},
journal= {arXiv preprint arXiv:1712.08931},
year = {2017}
}
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7 pages