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

‘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 Topological degree and application to a parabolic variational inequality problem

2001 ◽  
Vol 25 (4) ◽  
pp. 273-287 ◽  
Author(s):  
A. Addou ◽  
B. Mermri
Keyword(s):  
Variational Inequality ◽  
Topological Degree ◽  
Variational Inequality Problem ◽  
Maximal Monotone ◽  
Maximal Monotone Operators ◽  
Monotone Operators ◽  
Parabolic Variational Inequality ◽  
Inequality Problem ◽  
Monotone Map ◽  
New Formulation

We are interested in constructing a topological degree for operators of the formF=L+A+S, whereLis a linear densely defined maximal monotone map,Ais a bounded maximal monotone operators, andSis a bounded demicontinuous map of class(S+)with respect to the domain ofL. By means of this topological degree we prove an existence result that will be applied to give a new formulation of a parabolic variational inequality problem.

scholarly journals Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure

2020 ◽  
Vol 10 (1) ◽  
pp. 450-476
Author(s):  
Radu Ioan Boţ ◽  
Sorin-Mihai Grad ◽  
Dennis Meier ◽  
Mathias Staudigl
Keyword(s):  
Dynamical Systems ◽  
Strong Convergence ◽  
Equilibrium Problems ◽  
Monotone Operators ◽  
Inclusion Problem ◽  
Minimum Norm ◽  
Monotone Inclusion ◽  
Inclusion Problems ◽  
Monotone Inclusion Problem ◽  
Maximally Monotone Operators

Abstract In this work we investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators. Our aim is to design methods which guarantee strong convergence of trajectories towards the minimum norm solution of the underlying monotone inclusion problem. To that end, we investigate in detail the asymptotic behavior of dynamical systems perturbed by a Tikhonov regularization where either the maximally monotone operators themselves, or the vector field of the dynamical system is regularized. In both cases we prove strong convergence of the trajectories towards minimum norm solutions to an underlying monotone inclusion problem, and we illustrate numerically qualitative differences between these two complementary regularization strategies. The so-constructed dynamical systems are either of Krasnoselskiĭ-Mann, of forward-backward type or of forward-backward-forward type, and with the help of injected regularization we demonstrate seminal results on the strong convergence of Hilbert space valued evolutions designed to solve monotone inclusion and equilibrium problems.

Sign in / Sign up

Export Citation Format

Share Document