Nonlinear Maximal Monotone Extensions of Symmetric Operators [PDF]
, 2015 Given a linear semi-bounded symmetric operator $S\ge -\omega$, we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators $A_\Theta$ of type $\lambda>\omega$ (i.e.
Posilicano, Andrea
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Monotonicity of radially symmetric supersolutions for polyharmonic-type operators
Differential and Integral Equations, 2002 In this work, we prove some "precise properties" for radially symmetric supersolutions for polyharmonic operators with zero Dirichlet boundary conditions. As a consequence, we prove that they are strictly monotone functions of the radius.
Ge, Yuxin, Ye, Dong
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Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
Journal of Inequalities and Applications, 2023 We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze +3 more
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Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this work, we introduce an iterative algorithm for solving the split feasibility problem on zeros of the sum of monotone operators and fixed point sets and also solving the fixed point problem of a nonexpansive mapping.
Montira Suwannaprapa
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Statistical Korovkin-type theorem for monotone and sublinear operators
Studia Universitatis Babeş-Bolyai. Mathematica, 2023 "In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators.
I. Iancu
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Global continuation of monotone wavefronts [PDF]
, 2012 In this paper, we answer the question about the criteria of existence of monotone travelling fronts $u = \phi(\nu \cdot x+ct), \phi(-\infty) =0, \phi(+\infty) = \kappa,$ for the monostable (and, in general, non-quasi-monotone) delayed reaction-diffusion ...
Gomez, Adrian, Trofimchuk, Sergei
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On a boundary value problem for a Boussinesq-type equation in a triangle
Вестник КазНУ. Серия математика, механика, информатика, 2022 Earlier, we considered an initial-boundary value problem for a one-dimensional Boussinesq-type equation in a domain that is a trapezoid, in which the theorems on its unique weak solvability in Sobolev classes were established by the methods of the theory
M. T. Jenaliyev +2 more
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q,h-Opial-Type Inequalities via Hahn Operators
Discrete Dynamics in Nature and Society, 2022 In this paper, the well-known Hölder’s inequality is proved via Hahn differential and integral operators, which is a helping tool to establish some Opial-type inequalities via Hahn’s calculus.
Ammara Nosheen +3 more
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On an operator equation involving mappings of monotone type [PDF]
Proceedings of the American Mathematical Society, 1975 Let X X be a real reflexive Banach space and A : X → 2 X ∗ A:X \to {2^{{X^{\ast }}}} a maximal ...
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Iterative methods for approximating fixed points of Bregman nonexpansive operators [PDF]
, 2012 Diverse notions of nonexpansive type operators have been extended to the more general framework of Bregman distances in reflexive Banach spaces. We study these classes of operators, mainly with respect to the existence and approximation of their ...
Martín Márquez, Victoria +2 more
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