Results 11 to 20 of about 690 (261)
Mathematics, 2020 This paper is devoted to the study of evolution problems involving fractional flow and time and state dependent maximal monotone operator which is absolutely continuous in variation with respect to the Vladimirov’s pseudo distance.
Charles Castaing +2 more
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The Local Equicontinuity of a Maximal Monotone Operator [PDF]
Set-Valued and Variational Analysis, 2015 The local equicontinuity of an operator $T:X\rightrightarrows X^{*}$ with proper Fitzpatrick function $φ_{T}$ and defined in a barreled locally convex space $X$ has been shown to hold on the algebraic interior of $\operatorname*{Pr}\,_{X}(\operatorname*{dom}φ_{T})$). The current note presents direct consequences of the aforementioned result with regard
exaly +3 more sources
An Answer to S. Simons’ Question on the Maximal Monotonicity of the Sum of a Maximal Monotone Linear Operator and a Normal Cone Operator [PDF]
Set-Valued and Variational Analysis, 2009 The question whether or not the sum of two maximal monotone operators is maximal monotone under Rockafellar's constraint qualification - that is, whether or not "the sum theorem" is true - is the most famous open problem in Monotone Operator Theory. In his 2008 monograph "From Hahn-Banach to Monotonicity", Stephen Simons asked whether or not the sum ...
Xianfu Wang +2 more
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An approximate solution of a differential inclusion with maximal monotone operator
Journal of Taibah University for Science, 2020 The theory of differential inclusions has played a central role in many areas as biological systems, physical problems and population dynamics. The principle aim of our work is to compute explicitly the discrete approximate solution of a differential ...
Abdallah Beddani
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Optimal Control of Plasticity with Inertia [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 The paper is concerned with an optimal control problem governed by the equations of elasto plasticity with linear kinematic hardening and the inertia term at small strain.
Stephan Walther
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Maximality of the Sum of a Maximally Monotone Linear Relation and a Maximally Monotone Operator [PDF]
Set-Valued and Variational Analysis, 2013 16 pages.
Borwein, Jonathan M., Yao, Liangjin
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Learning Maximally Monotone Operators for Image Recovery [PDF]
SIAM Journal on Imaging Sciences, 2021 We introduce a new paradigm for solving regularized variational problems. These are typically formulated to address ill-posed inverse problems encountered in signal and image processing. The objective function is traditionally defined by adding a regularization function to a data fit term, which is subsequently minimized by using iterative optimization
Jean-Christophe Pesquet +3 more
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Fixed Point Theory and Applications, 2009 We introduce an iterative scheme for finding a common element of the solution set of a maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone operator in a uniformly smooth and uniformly ...
Somyot Plubtieng, Wanna Sriprad
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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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Maximal monotone operators with non-maximal graphical limit
Examples and Counterexamples, 2022 We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability of the resolvent of an operator B in terms of existence and maximal ...
Gerd Wachsmuth
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