Results 1 to 10 of about 937 (261)
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 ...
Kazeem Olalekan Aremu +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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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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An initial boundary value problem for the Boussinesq equation in a Trapezoid [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper considers an initial boundary value problem for a one-dimensional Boussinesq-type equation in a domain, that is, a trapezoid. Using the methods of the theory of monotone operators, we establish theorems on their unique weak solvability in ...
M.T. Jenaliyev +3 more
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Finite difference schemes with monotone operators
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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Korovkin-Type Theorems for Weakly Nonlinear and Monotone Operators
Mediterranean Journal of Mathematics, 2023 In this paper we prove analogues of Korovkin's theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables. Our results concern the convergence almost everywhere, the convergence in measure and the convergence in $L^{p}$-norm. Several results illustrating the theory are also included.
Sorin G. Gal, Constantin P. Niculescu
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A double phase equation with convection
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a double phase problem with a gradient dependent reaction (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a nontrivial, positive, bounded solution.
Zhenhai Liu, Nikolaos Papageorgiou
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Nonlinear equations with weighted potential type operators in Lebesgue spaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 By method of monotone operators, existence and uniqueness theorems are proved for some classes of nonlinear equations with weighted potential type operators in Lebesgue spaces.
S. N. Askhabov
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Journal of Inequalities and Applications, 2021 In this paper, we are concerned with a kind of tempered fractional differential equation Riemann–Stieltjes integral boundary value problems with p-Laplacian operators.
Bibo Zhou, Lingling Zhang
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