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
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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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Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type [PDF]
Optimization Letters, 2011 We show that every maximally monotone operator of Fitzpatrick-Phelps type defined on a real Banach space must be of dense type. This provides an affirmative answer to a question posed by Stephen Simons in 2001 and implies that various important notions of monotonicity coincide.
Heinz H. Bauschke +3 more
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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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The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2011 15 pages ...
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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 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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Maximal monotone operators and nonlinear integral equations of Hammerstein type [PDF]
Bulletin of the American Mathematical Society, 1970 A nonlinear integral equation of Hammerstein type is one of the form \( u(x) + \int_{G} {K(x,\,y)f(y,\,u(y))dy} = w(x). \)
Browder, Felix E. +2 more
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Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces
Fixed Point Theory and Applications, 2010 The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space.
Fumiaki Kohsaka, Koji Aoyama
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Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
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