TY - JOUR
T1 - On cyclic and n-cyclic monotonicity of bifunctions
AU - Bianchi, Monica
PY - 2014
Y1 - 2014
N2 - In the recent literature, the connection between maximal monotone operators and
the Fitzpatrick function is investigated. Subsequently, this relation has been extended to
maximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize
some of these results to maximal n-cyclically monotone and maximal cyclically monotone
bifunctions, by introducing and studying the Fitzpatrick transforms of order n or infinite
order for bifunctions.
AB - In the recent literature, the connection between maximal monotone operators and
the Fitzpatrick function is investigated. Subsequently, this relation has been extended to
maximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize
some of these results to maximal n-cyclically monotone and maximal cyclically monotone
bifunctions, by introducing and studying the Fitzpatrick transforms of order n or infinite
order for bifunctions.
KW - Fitzpatrick function
KW - Maximal monotone operator
KW - Monotone bifunction
KW - n-Cyclic monotonicity
KW - Fitzpatrick function
KW - Maximal monotone operator
KW - Monotone bifunction
KW - n-Cyclic monotonicity
UR - http://hdl.handle.net/10807/61598
U2 - 10.1007/s10898-013-0113-7
DO - 10.1007/s10898-013-0113-7
M3 - Article
SN - 0925-5001
VL - 2014
SP - 599
EP - 616
JO - Journal of Global Optimization
JF - Journal of Global Optimization
ER -