On the Maximal Extensions of Monotone Operators and Criteria for Maximality
Journal of convex analysis, Tome 24 (2017) no. 1, pp. 19-4
Within a nonzero, real Banach space we study the problem of characterising a maximal extension of a monotone operator in terms of minimality properties of representative functions that are bounded by the Penot and Fitzpatrick functions. We single out a property of this space of representative functions that enable a very compact treatment of maximality and pre-maximality issues.
Classification :
47H05, 46N10, 47H04, 49J53
Mots-clés : Sum theorems, maximal extensions, monotone operators, representative functions
Mots-clés : Sum theorems, maximal extensions, monotone operators, representative functions
@article{JCA_2017_24_1_JCA_2017_24_1_a1,
author = {A. Eberhard and R. Wenczel},
title = {On the {Maximal} {Extensions} of {Monotone} {Operators} and {Criteria} for {Maximality}},
journal = {Journal of convex analysis},
pages = {19--4},
year = {2017},
volume = {24},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a1/}
}
TY - JOUR AU - A. Eberhard AU - R. Wenczel TI - On the Maximal Extensions of Monotone Operators and Criteria for Maximality JO - Journal of convex analysis PY - 2017 SP - 19 EP - 4 VL - 24 IS - 1 UR - http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a1/ ID - JCA_2017_24_1_JCA_2017_24_1_a1 ER -
A. Eberhard; R. Wenczel. On the Maximal Extensions of Monotone Operators and Criteria for Maximality. Journal of convex analysis, Tome 24 (2017) no. 1, pp. 19-4. http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a1/