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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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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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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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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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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Reduction theorems for operators on the cones of monotone functions
, 2020 For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in the Lp-Lq setting for 0<q<∞, 1≤p<∞. The case 0<p<1 is also studied for operators with additional properties.
Gogatishvili A., Stepanov V.D.
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