Variational Principles for Monotone and Maximal Bifunctions

Chbani, Zaki, and Riahi, Hassan. "Variational Principles for Monotone and Maximal Bifunctions." Serdica Mathematical Journal 29.2 (2003): 159-166. <http://eudml.org/doc/219574>.

@article{Chbani2003,
abstract = {2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05We establish variational principles for monotone and maximal bifunctions of Brøndsted-Rockafellar type by using our characterization of bifunction’s maximality in reflexive Banach spaces. As applications, we give an existence result of saddle point for convex-concave function and solve an approximate inclusion governed by a maximal monotone operator.},
author = {Chbani, Zaki, Riahi, Hassan},
journal = {Serdica Mathematical Journal},
keywords = {Brøndsted-Rockafellar Principle; Equilibrium Problem; Brøndsted-Rockafellar lemma; monotonicity; subdifferential},
language = {eng},
number = {2},
pages = {159-166},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Variational Principles for Monotone and Maximal Bifunctions},
url = {http://eudml.org/doc/219574},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Chbani, Zaki
AU - Riahi, Hassan
TI - Variational Principles for Monotone and Maximal Bifunctions
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 2
SP - 159
EP - 166
AB - 2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05We establish variational principles for monotone and maximal bifunctions of Brøndsted-Rockafellar type by using our characterization of bifunction’s maximality in reflexive Banach spaces. As applications, we give an existence result of saddle point for convex-concave function and solve an approximate inclusion governed by a maximal monotone operator.
LA - eng
KW - Brøndsted-Rockafellar Principle; Equilibrium Problem; Brøndsted-Rockafellar lemma; monotonicity; subdifferential
UR - http://eudml.org/doc/219574
ER -