Let (X,d) be a metric space. Let Φ be a linear family of real-valued functions defined on X. Let be a maximal cyclic α(·)-monotone multifunction with non-empty values. We give a sufficient condition on α(·) and Φ for the following generalization of the Rockafellar theorem to hold. There is a function f on X, weakly Φ-convex with modulus α(·), such that Γ is the weak Φ-subdifferential of f with modulus α(·), .
@article{bwmeta1.element.bwnjournal-article-smv141i3p263bwm,
author = {S. Rolewicz},
title = {On cyclic $\alpha$($\cdot$)-monotone multifunctions},
journal = {Studia Mathematica},
volume = {141},
year = {2000},
pages = {263-272},
zbl = {1012.46062},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv141i3p263bwm}
}
Rolewicz, S. On cyclic α(·)-monotone multifunctions. Studia Mathematica, Tome 141 (2000) pp. 263-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv141i3p263bwm/
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