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Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings [PDF]

open access: yesJournal 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
doaj   +2 more sources

Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators [PDF]

open access: yesJournal 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
doaj   +2 more sources

New view of fuzzy aggregations. Part III: extensions of the FPOWA operator in the problem of political management [PDF]

open access: yesJournal 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
doaj   +1 more source

Locally efficient monotone operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
We study monotone operators on quasi open or convex subsets of a real Banach space X X (quasi open means that the contingent cone at each point equals X X ). Among others we characterize the maximality of such an operator in terms of its w ∗ {w^*} -upper ...
Verona, Andrei, Verona, Maria Elena
openaire   +1 more source

Fixed Point Theorems for Nonlinear Operators with and without Monotonicity in Partially Ordered Banach Spaces

open access: yesFixed 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

Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators [PDF]

open access: yesComplex 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   +5 more sources

Finite difference schemes with monotone operators

open access: yesAdvances 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

Around Operator Monotone Functions [PDF]

open access: yesIntegral Equations and Operator Theory, 2011
We show that the symmetrized product $AB+BA$ of two positive operators $A$ and $B$ is positive if and only if $f(A+B)\leq f(A)+f(B)$ for all non-negative operator monotone functions $f$ on $[0,\infty)$ and deduce an operator inequality. We also give a necessary and sufficient condition for that the composition $f\circ g$ of an operator convex function $
Moslehian, Mohammad Sal, Najafi, Hamed
openaire   +3 more sources

Monotone Operators Without Enlargements [PDF]

open access: yes, 2013
26 ...
Borwein, Jonathan M.   +2 more
openaire   +3 more sources

Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators [PDF]

open access: yesSet-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 ...
García, Yboon, Lassonde, Marc
openaire   +2 more sources

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