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
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On θ-generalized demimetric mappings and monotone operators in Hadamard spaces
Demonstratio Mathematica, 2020 Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is ...
Chinedu Izuchukwu +2 more
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Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness [PDF]
Mathematical Physics, Analysis and Geometry, 2021 AbstractIn this note, a Wegner estimate for random divergence-type operators that are monotone in the randomness is proven. The proof is based on a recently shown unique continuation estimate for the gradient and the ensuing eigenvalue liftings. The random model which is studied here contains quite general random perturbations, among others, some that ...
Dicke, Alexander
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On Bregman-Type Distances for Convex Functions and Maximally Monotone Operators [PDF]
Set-Valued and Variational Analysis, 2017 Given two point to set operators, one of which is maximally monotone, we introduce a new distance in their graphs. This new concept reduces to the classical Bregman distance when both operators are the gradient of a convex function. We study the properties of this new distance and establish its continuity properties.
Burachik, Regina +1 more
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Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems [PDF]
Abstract and Applied Analysis, 2016 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
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Weighted Hardy type inequalities for supremum operators on the cones of monotone functions [PDF]
Journal of Inequalities and Applications, 2016 The complete characterization of the weighted L p − L r $L^{p}-L^{r}$ inequalities of supremum operators on the cones of monotone functions for all 0 < p , r ≤ ∞ $0< p,r\leq \infty$ is given.
Lars-Erik Persson +2 more
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Semilinear problems involving nonlinear operators of monotone type
Results in Nonlinear Analysis, 2019 This is a survey article on semilinear problems with a non-symmetric linear part and a nonlinear part of monotone type in real Hilbert spaces. We study the solvability of semilinear inclusions in the nonresonance and resonance cases.
In-Sook Kim
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A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem [PDF]
Abstract and Applied Analysis, 2017 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be maximal monotone, S:X→2X⁎ be bounded and of type (S+), and C:D(C)→X⁎ be compact with D(T)⊆D(C) such that C lies in Γστ (i.e.,
Teffera M. Asfaw
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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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On the q-Monotonicity Preservation of Durrmeyer-Type Operators [PDF]
Mediterranean Journal of Mathematics, 2021 AbstractWe prove that various Durrmeyer-type operators preserveq-monotonicity in [0, 1] or$$[0,\infty )$$[0,∞)as the case may be. Recall that a 1-monotone function is nondecreasing, a 2-monotone one is convex, and for$$q>2$$q>2, aq-monotone function possesses a convex$$(q-2)$$(q-2)nd derivative in the interior of the interval.
Ulrich Abel, Dany Leviatan, Ioan Raşa
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