Results 21 to 30 of about 370 (245)

Monotonicity of the Polaron Energy II: General Theory of Operator Monotonicity [PDF]

Journal of Statistical Physics, 2013
We construct a general theory of operator monotonicity and apply it to the Fröhlich polaron hamiltonian. This general theory provides a consistent viewpoint of the Fröhlich model.
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Infimal generators and monotone sublinear operators

Constructive Mathematical Analysis, 2021
We provide a version of Korovkin-type theorems for monotone sublinear operators in vector lattices and discuss the possibilities of further extensions and generalizations.
openaire   +4 more sources

Dualize, Split, Randomize: Toward Fast Nonsmooth Optimization Algorithms [PDF]

, 2022
We consider minimizing the sum of three convex functions, where the first one F is smooth, the second one is nonsmooth and proximable and the third one is the composition of a nonsmooth proximable function with a linear operator L.
Richtárik, Peter, Condat, Laurent Pierre, Condat, Laurent, Mishchenko, Konstantin, Salim, Adil, Laurent Condat, Peter Richtárik, Konstantin Mishchenko, Adil Salim   +8 more
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Some results on quasi-monotone and pseudo-monotone operators and applications.

, 1997
In this thesis, we shall introduce the concepts of h-quasi-monotone, quasi-monotone, bi-quasi-monotone, h-quasi-semi-monotone, quasi-semi-monotone, quasi-nonexpansive, semi-nonexpansive, lower hemi-continuous, upper hemi-continuous, weakly lower ...
Chowdhury, Mohammad Showkat Rahim.
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On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities [PDF]

Mathematical and Computational Applications, 1997
In this paper we develop the existence theory of generalized strongly nonlinear variational inequality problem involving F-monotone operator in the setting of reflexive Banach spaces and Hausdorff topological vector spaces separately. Our results include Dugundji’s and Granas’s variational inequality in reflexive Banach spaces and Tan’s variational ...
Ganguly, Ashok, Wadhwa, Kamal
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Fixed point theory in metric and normed Spaces [PDF]

, 2022
In this dissertation, we present major results in the theory of fixed points in metric and normed spaces. We start with a review of the Banach fixed point theorem and some of its applications (in systems of linear equations, differential equations ...
Naude, Luan
core  

Receiver operating characteristic curve generalization for non-monotone relationships [PDF]

Statistical Methods in Medical Research, 2016
The receiver operating characteristic curve is a popular graphical method frequently used in order to study the diagnostic capacity of continuous markers. It represents in a plot true-positive rates against the false-positive ones. Both the practical and theoretical aspects of the receiver operating characteristic curve have been extensively studied ...
Martínez Camblor, Pablo, Corral Blanco, Norberto Octavio, Rey Galán, Corsino, Pascual Gómez, Julio, Cernuda Morollón, Eva María   +4 more
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On the dynamics of sup-norm non-expansive maps [PDF]

, 2005
We present several results for the periods of periodic points of sup-norm non-expansive maps. In particular, we show that the period of each periodic point of a sup-norm non-expansive map $f\colon M\to M$, where $M\subset \mathbb{R}^n$, is at most ...
Lemmens, Bas, Scheutzow, Michael, Bas Lemmens, Michael Scheutzow   +3 more
core   +1 more source

Monotone and generalized monotone bifunctions and their application to operator theory [PDF]

, 2014
Το θέμα της παρούσας διατριβής είναι η μελέτη των μονότονων και γενικευμένα μονότονων «δισυναρτήσεων», δηλαδή συναρτήσεων F:CxCR, όπου C είναι υποσύνολο του χώρου Banach X, οι οποίες ικανοποιούν τη σχέση f(x,y)+f(y,x)<=0. Κύριος σκοπός είναι η συσχέτιση των ιδιοτήτων των μονότονων δισυναρτήσεων με αντίστοιχες ιδιότητες των πλειότιμων μονότονων ...
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Utility of the APE2 Score as a Diagnostic Tool for Autoimmune Encephalitis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To retrospectively evaluate the diagnostic performance of the Antibody Prevalence in Epilepsy and Encephalopathy (APE2) score relative to clinician‐adjudicated autoimmune encephalitis (AE) and the Graus criteria in a tertiary neuroimmunology referral cohort, including antibody‐negative AE.
Bijoya Basu, Sophia F. Damman, Samhitha M. Rai, Hesham Abboud   +3 more
wiley   +1 more source