Publication:
Limits of maximal monotone operators driven by their representative functions
Limits of maximal monotone operators driven by their representative functions
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Date
2019
Authors
Garcia, Y
Lassonde, M
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Springer Nature
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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.
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Keywords
Representative function,
Maximal monotone operator,
Convex function