cyclic monotonicity
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On the Equivalence of Weak- and Cyclic-Monotonicity

2019 ◽  
Author(s):  
Alexey I. Kushnir ◽  
Lev Lokutsievskiy
Keyword(s):  
Cyclic Monotonicity

scholarly journals Estimating Semi-Parametric Panel Multinomial Choice Models Using Cyclic Monotonicity

Econometrica ◽  
2018 ◽  
Vol 86 (2) ◽  
pp. 737-761 ◽  
Author(s):  
Xiaoxia Shi ◽  
Matthew Shum ◽  
Wei Song
Keyword(s):  
Choice Models ◽  
Cyclic Monotonicity ◽  
Multinomial Choice

scholarly journals Equivalence betweenp-cyclic quasimonotonicity andp-cyclic monotonicity of affine maps

Optimization ◽  
2014 ◽  
Vol 64 (7) ◽  
pp. 1487-1497
Author(s):  
Eladio Ocaña ◽  
John Cotrina ◽  
Orestes Bueno
Keyword(s):  
Affine Maps ◽  
Cyclic Monotonicity

On cyclic and $$n$$ n -cyclic monotonicity of bifunctions

2013 ◽  
Vol 60 (4) ◽  
pp. 599-616 ◽  
Author(s):  
M. H. Alizadeh ◽  
M. Bianchi ◽  
N. Hadjisavvas ◽  
R. Pini
Keyword(s):  
Cyclic Monotonicity

Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative

2007 ◽  
Vol 66 (5) ◽  
pp. 1198-1223 ◽  
Author(s):  
Sedi Bartz ◽  
Heinz H. Bauschke ◽  
Jonathan M. Borwein ◽  
Simeon Reich ◽  
Xianfu Wang
Keyword(s):  
Cyclic Monotonicity ◽  
Fitzpatrick Functions

Integration of ε-Fenchel Subdifferentials and Maximal Cyclic Monotonicity

2005 ◽  
Vol 32 (1) ◽  
pp. 83-91 ◽  
Author(s):  
Sylvie Marcellin ◽  
Lionel Thibault
Keyword(s):  
Cyclic Monotonicity

scholarly journals Subdifferentials of convex functions and sigma-cyclic monotonicity

2000 ◽  
Vol 61 (2) ◽  
pp. 269-276 ◽  
Author(s):  
Aris Daniilidis
Keyword(s):  
Hilbert Space ◽  
Monotone Operator ◽  
Convex Functions ◽  
Monotone Operators ◽  
Cyclic Monotonicity ◽  
Densely Defined

The property of σcyclic monotonicity is proposed here to describe subdifferentials of lsc convex functions that are continuous in their domains. It is shown that all monotone operators in R and all densely defined cyclically monotome operators in Rn share this property. Examples of a densely defined maximal cyclically monotone operator in a Hilbert space and of a subdifferential of a convex lsc function in R2 which are not σ-cyclically monotone operators are given.

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