Results 11 to 20 of about 1,184,775 (281)
Finite difference schemes with monotone operators
Advances in Difference Equations, 2004 Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached.
N. C. Apreutesei
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Around Operator Monotone Functions [PDF]
Integral Equations and Operator Theory, 2011 We show that the symmetrized product $AB+BA$ of two positive operators $A$ and $B$ is positive if and only if $f(A+B)\leq f(A)+f(B)$ for all non-negative operator monotone functions $f$ on $[0,\infty)$ and deduce an operator inequality. We also give a necessary and sufficient condition for that the composition $f\circ g$ of an operator convex function $
Moslehian, Mohammad Sal, Najafi, Hamed
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Monotone Operators Without Enlargements [PDF]
, 2013 26 ...
Borwein, Jonathan M. +2 more
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Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators [PDF]
Set-Valued and Variational Analysis, 2011 We show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone ...
García, Yboon, Lassonde, Marc
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ADMM for monotone operators: convergence analysis and rates [PDF]
Advances in Computational Mathematics, 2017 We propose in this paper a unifying scheme for several algorithms from the literature dedicated to the solving of monotone inclusion problems involving compositions with linear continuous operators in infinite dimensional Hilbert spaces.
R. Boț, E. R. Csetnek
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Weighted modular inequalities for monotone functions
Journal of Inequalities and Applications, 1997 Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities,
Heinig HP, Kufner A, Drábek P
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Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators
SIAM Journal on Optimization, 2020 The introduction of the Hessian damping in the continuous version of Nesterov's accelerated gradient method provides, by temporal discretization, fast proximal gradient algorithms where the oscilla...
H. Attouch, S. László
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Cyclically monotone linear operators [PDF]
Proceedings of the American Mathematical Society, 1976 A linear operator on a complex Hilbert space H \mathcal {H} is called n n -cyclically monotone if for each sequence x 0 , x 1 , … , x
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Symbolic computation with monotone operators [PDF]
ACM Communications in Computer Algebra, 2017 The Fenchel conjugate , f * , and the subdifferential , ∂ f , of a function f are two objects of fundamental importance in convex analysis.
Lauster, Florian +2 more
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Arabian Journal of Mathematics, 2019 In this paper, we construct a forward–backward splitting algorithm for approximating a zero of the sum of an $$\alpha $$ α -inverse strongly monotone operator and a maximal monotone operator.
V. Dadashi, M. Postolache
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