Results 11 to 20 of about 79,402 (278)

A New Three-Term Hestenes-Stiefel Type Method for Nonlinear Monotone Operator Equations and Image Restoration

open access: yesIEEE Access, 2021
In this article, a derivative-free method of Hestenes-Stiefel type is proposed for solving system of monotone operator equations with convex constraints.
Auwal Bala Abubakar   +5 more
doaj   +3 more sources

On operator-valued monotone independence [PDF]

open access: yes, 2014
We investigate operator-valued monotone independence, a noncommutative version of independence for conditional expectation. First we introduce operator-valued monotone cumulants to clarify the whole theory and show the moment-cumulant formula.
Hasebe, Takahiro, Saigo, Hayato
core   +2 more sources

Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

open access: yesDemonstratio Mathematica, 2018
In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj   +1 more source

Maximal monotone operators with non-maximal graphical limit

open access: yesExamples 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   +1 more source

Numerical Construction of LISS Lyapunov Functions under a Small Gain Condition [PDF]

open access: yes, 2011
In the stability analysis of large-scale interconnected systems it is frequently desirable to be able to determine a decay point of the gain operator, i.e., a point whose image under the monotone operator is strictly smaller than the point itself.
BC Eaves   +24 more
core   +1 more source

A Halpern-Type Iteration Method for Bregman Nonspreading Mapping and Monotone Operators in Reflexive Banach Spaces

open access: yesJournal of Mathematics, 2019
In this paper, we introduce an iterative method for approximating a common solution of monotone inclusion problem and fixed point of Bregman nonspreading mappings in a reflexive Banach space.
F. U. Ogbuisi   +2 more
doaj   +1 more source

Positivity, Betweenness, and Strictness of Operator Means

open access: yesAbstract and Applied Analysis, 2015
An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property.
Pattrawut Chansangiam
doaj   +1 more source

Optimal Control of Plasticity with Inertia [PDF]

open access: yesJournal 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
doaj   +1 more source

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

open access: yesFixed 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

Cyclically monotone linear operators [PDF]

open access: yesProceedings 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
openaire   +1 more source

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