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OPERATORS OF MONOTONE TYPE AND ALTERNATIVE PROBLEMS WITH INFINITE DIMENSIONAL KERNEL
, 1981J. Mawhin, M. Willem
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Moreau–Yosida Regularization of Maximal Monotone Operators of Type (D)
Set-Valued and Variational Analysis, 2010The authors propose a Moreau-Yosida regularization for maximal monotone operators of a certain type in non-reflexive Banach spaces. This notion generalizes the classical Moreau-Yosida regularization as well as Brezis-Crandall-Pazy's extension of this regularization.
Marques Alves, Maicon +1 more
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On a type of monotonicity for multidimensional operators
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mayor, G., Calvo, T.
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Modified inertial Tseng type method for zeros of the sum of monotone operators in Hilbert spaces
Carpathian Journal of MathematicsIn this work, we propose a modified inertial Tseng type method for finding a solution to the monotone inclusion problem in Hilbert spaces. The strong convergence of the algorithm is guaranteed by suffi- cient conditions on the control sequences of ...
N. Petrot +2 more
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Parallel algorithms for maximal monotone operators of local type
Numerische Mathematik, 1995In solving discretized elliptic problems, the idea of using two-stage iterative methods (with inner ADI iterations for model systems) turned out to be very productive (theoretical results and practical applications can be found in the reviewer's book ``Optimization in solving elliptic problems'', CRC Press, Boca Raton, 1995).
Layton, W.J. +2 more
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Characterization of operator monotone functions by Powers–Størmer type inequalities
Linear and Multilinear Algebra, 2014Let be a normal state on the algebra of all bounded operators on a Hilbert space , a strictly positive continuous function on and . We will give characterizations of matrix and operator monotonicity by the following generalized Powers–Stormer type inequalitywhenever are positive invertible operators ...
Dinh Trung Hoa +2 more
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G-convergence of quasi-linear ordinary differential operators of monotone type
ANNALI DELL UNIVERSITA DI FERRARA, 1990The author considers the boundary value problem \[ -(a(x,u'))'=f,\quad u(a)=\alpha, \quad u(b)=\beta \] for a nonlinear system of ordinary differential equations in the Sobolev space \((W^{1,p}(a,b))^ n ...
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All Maximal Monotone Operators in a Banach Space are of Type FPV
Set-Valued and Variational Analysis, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eberhard, A., Wenczel, R.
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