Results 141 to 150 of about 2,795 (188)

Moreau–Yosida Regularization of Maximal Monotone Operators of Type (D)

Set-Valued and Variational Analysis, 2010
The 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, Svaiter, Benar Fux   +1 more
openaire   +1 more source

On a type of monotonicity for multidimensional operators

Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mayor, G., Calvo, T.
openaire   +2 more sources

Modified inertial Tseng type method for zeros of the sum of monotone operators in Hilbert spaces

Carpathian Journal of Mathematics
In 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, M. Khonchaliew, Montira Suwannaprapa   +2 more
semanticscholar   +1 more source

Parallel algorithms for maximal monotone operators of local type

Numerische Mathematik, 1995
In 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., Maubach, J.M.L., Rabier, P.J.   +2 more
openaire   +1 more source

Characterization of operator monotone functions by Powers–Størmer type inequalities

Linear and Multilinear Algebra, 2014
Let 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, Hiroyuki Osaka, Jun Tomiyama   +2 more
openaire   +1 more source

G-convergence of quasi-linear ordinary differential operators of monotone type

ANNALI DELL UNIVERSITA DI FERRARA, 1990
The 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, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eberhard, A., Wenczel, R.
openaire   +2 more sources

NONLINEAR EQUATIONS OF HAMMERSTEIN TYPE WITH POTENTIAL AND MONOTONE OPERATORS IN BANACH SPACES

Mathematics of the USSR-Sbornik, 1972
We prove an existence and uniqueness theorem for solutions of equations of Hammerstein type (1)in Banach spaces. The main difference between this study and previous ones is to be found in the assumptions that is a closed operator from one Banach space into another, and that bounds on are imposed only on certain subsets of die space in question.
Vainberg, M. M., Lavrent'ev, I. M.
openaire   +1 more source

A New Trend of Fractional Inequalities for Differentiable Monotone Convexities Through Generalized Operators with Applications

European Journal of Pure and Applied Mathematics
This paper's main goal is to describe the new fractional operators for monotone differentiable function equipped with generalized Mittag-Leffler functions as its kernel, and develop the fractional inequalities for a new family of continuous ...
Rana Safdar Ali Rana, Naila Talib, Sina Etemad, J. Tariboon, M. Hafeez   +4 more
semanticscholar   +1 more source

Strongly Convergent Inertial Krasnosel'skii–Mann and Ishikawa-Type Schemes for Fixed Point and Monotone Inclusion Problems with Applications to Image Restoration

International Journal of Analysis and Applications
We propose an inertial Krasnosel'skii–Mann and Ishikawa-type iterative process with step-size control for finding fixed points of nonexpansive mappings in Hilbert spaces.
Kasamsuk Ungchittrakool, Natthaphon Artsawang   +1 more
semanticscholar   +1 more source