Results 1 to 10 of about 826,027 (309)

Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator [PDF]

Set-Valued and Variational Analysis, 2012
The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qualification holds. In this paper, we prove the maximal monotonicity of $A+
Borwein, Jonathan M., Yao, Liangjin
core   +3 more sources

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
doaj   +4 more sources

Fractional Order of Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator

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, Christiane Godet-Thobie, Le Xuan Truong   +2 more
doaj   +2 more sources

Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space

Abstract and Applied Analysis, 2012
We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka
Hongjie Liu, Junqing Wang, Qiansheng Feng   +2 more
doaj   +2 more sources

Partial-monotone adaptive submodular maximization

Journal of Combinatorial Optimization, 2022
This paper was accepted at Journal of Combinatorial ...
Shaojie Tang, Jing Yuan
openaire   +3 more sources

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
doaj   +2 more sources

Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators

Evolution Equations and Control Theory, 2020
In this paper, we study the existence of solutions for evolution problems of the form \begin{document}$ -\frac{du}{dr}(t) \in A(t)u(t) + F(t, u(t))+f(t, u(t)) $\end{document} , where, for each \begin{document}$ t $\end{document} , \begin{document}$ A(t) :
D. Azzam-Laouir, Warda Belhoula, C. Castaing, M. Marques   +3 more
semanticscholar   +1 more source

Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings

Fixed Point Theory and Applications, 2009
We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method.
Chakkrid Klin-eam, Suthep Suantai
doaj   +2 more sources

Convergence of proximal solutions for evolution inclusions with time-dependent maximal monotone operators [PDF]

Mathematical programming, 2019
This article studies the solutions of time-dependent differential inclusions which is motivated by their utility in optimization algorithms and the modeling of physical systems.
Kanat M. Camlibel, L. Iannelli, A. Tanwani   +2 more
semanticscholar   +1 more source

Robust monotone submodular function maximization [PDF]

Mathematical Programming, 2016
Preliminary version in IPCO ...
James B. Orlin, Andreas S. Schulz, Rajan Udwani   +2 more
openaire   +7 more sources