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

‘Of Neuter Gender, tho’ of Irish growth’: Charles Churchill's Fribble

2013 ◽  
Vol 43 (1) ◽  
pp. 119-130
Author(s):  
Declan William Kavanagh
Keyword(s):  
Direct Response ◽  
Popular Imagination ◽  
Literary Source ◽  
David Garrick ◽  
History Of ◽  
English Identity ◽  
Eighth Edition ◽  
And Gender ◽  
Drury Lane ◽  
Fitzpatrick Functions

This essay argues that the work of a lesser-known mid-eighteenth-century satirist Charles Churchill (1731–1764) provides a rich literary source for queer historical considerations of the conflation of xenophobia with effeminophobia in colonial imaginings of Ireland. This article analyzes Churchill's verse-satire The Rosciad (1761) through a queer lens in order to reengage the complex history of queer figurations of Ireland and the Irish within the British popular imagination. In the eighth edition of The Rosciad – a popular and controversial survey of London's contemporary players – Churchill portrays the Irish actor Thady Fitzpatrick as an effeminate fribble, before championing the manly acting abilities of the English actor David Garrick. The phobic attack on Fitzpatrick in The Rosciad is a direct response to Fitzpatrick's involvement in the ‘Fitzgiggo’ riots of January 1763 at the Drury Lane and Covent-Garden theatres. While Churchill's lampooning of the actor recalls Garrick's earlier satirizing of Fitzpatrick as a fribble in The Fribbleriad (1741) and Miss in her Teens (1747), The Rosciad is unique in its explicit conflation of androgyny with ethnicity through Irish classification. The portraiture of Fitzpatrick functions, alongside interrelated axes of ethnicity, class and gender, to prohibit access to a ‘normative’ middle-class English identity, figured through the ‘manly’ theatrical sensibility of the poem's hero, Garrick. Moreover, in celebrating a ‘Truly British Age’, the poem privileges English female players, in essentialist and curiously de-eroticized terms, as ‘natural’ though flawed performers. By analyzing Churchill's phobic juxtaposition of Garrick and the female players against the Irish fribble, this article evinces how mid-century discourses of effeminacy were also instrumental in enforcing racial taxonomies.

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

scholarly journals Fitzpatrick Functions and Continuous Linear Monotone Operators

2007 ◽  
Vol 18 (3) ◽  
pp. 789-809 ◽  
Author(s):  
Heinz H. Bauschke ◽  
Jonathan M. Borwein ◽  
Xianfu Wang
Keyword(s):  
Monotone Operators ◽  
Continuous Linear ◽  
Fitzpatrick Functions

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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