Results 11 to 20 of about 528,162 (194)
Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we present two iterative algorithms for approximating a solution of the split feasibility problem on zeros of a sum of monotone operators and fixed points of a finite family of nonexpansive mappings.
Narin Petrot +2 more
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Finite difference schemes with monotone operators [PDF]
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 +3 more sources
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 ...
Marc Lassonde
exaly +3 more sources
Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods.
Tadchai Yuying, Somyot Plubtieng
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Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators [PDF]
Complex Analysis and Operator Theory, 2021 AbstractWe study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and monotone Fock spaces, respectively. We preliminary treat the case of weakly monotone Fock space, and show that any single operator has the vacuum law belonging to the free Meixner class.
Vitonofrio Crismale +2 more
openaire +7 more sources
Asplund Decomposition of Monotone Operators
SIAM Journal on Optimization, 2007 We establish representations of a monotone mapping as the sum of a maximal subdifferential mapping and a “remainder” monotone mapping, where the remainder is “acyclic” in the sense that it contains no nontrivial subdifferential component. This is the nonlinear analogue of a skew linear operator.
Jonathan M Borwein
exaly +3 more sources
A note on quasi-monotone operators
International Journal of Mathematics and Mathematical Sciences, 1987 The treatment of nonlinear problems using a general framework is often a delicate issue. This is illustrated by the fact that the quasi-monotone operators of M. A. Noor are constant operators.
S. S. Chow
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New view of fuzzy aggregations. Part III: extensions of the FPOWA operator in the problem of political management [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [34] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
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Norms of certain operators on weighted L-spaces and Lorentz sequence spaces. [PDF]
, 2002 The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted spaces and the corresponding Lorentz sequence spaces , with the power weighting sequence or the variant defined by .
Jameson, Graham J. O., Lashkaripour, R.
core +4 more sources
Fixed Point Theory and Applications, 2010 We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators.
Liang Jin, Xiao Ti-Jun, Ding Hui-Sheng
doaj +2 more sources