Results 11 to 20 of about 10,724 (253)
Semigroups and Evolution Equations in Modular Function Spaces
AxiomsThis paper develops the theory of strongly continuous semigroups and abstract evolution equations in modular function spaces. We study the autonomous problem u˙(t)=Bu(t) with initial condition u(0)=u0∈Lρ, where B is the infinitesimal generator of a ...
Mostafa Bachar
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A Korovkin theorem in multivariate modular function spaces [PDF]
Journal of Function Spaces and Applications, 2009 In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.
Carlo Bardaro, Ilaria Mantellini
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Nonlinear Fredholm equations in modular function spaces
Electronic Journal of Differential Equations, 2019 We investigate the existence of solutions in modular function spaces of the Fredholm integral equation $$ \Phi(\theta) = g(\theta) + \int^1_0 f(\theta,\sigma, \Phi(\sigma)) \,d\sigma, $$ where $\Phi(\theta), g(\theta)\in L_{\rho}, \theta\in [0,1 ...
Mostafa Bachar
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$rho$-Attractive Elements in Modular Function Spaces [PDF]
Kragujevac Journal of Mathematics, 2021 In this paper, we introduce the notion of ρ-attractive elements in modular function spaces. A new class of mappings called ρ-k-nonspreading mappings is also introduced. Making a good use of the two notions, we first prove existence results and then some approximation results in the setup of modular function spaces.
Iqbal, H., Abbas, M., Khan, S. H.
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Extrapolation on function and modular spaces, and applications
Advances in Mathematics, 2022 We generalize the extrapolation theory of Rubio de Francia to the context of Banach function spaces and modular spaces. Our results are formulated in terms of some natural weighted estimates for the Hardy-Littlewood maximal function and are stated in measure spaces and for general Muckenhoupt bases. Finally, we give several applications in analysis and
Cao, Mingming +2 more
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The modular space determined by a positive function [PDF]
Bulletin of the American Mathematical Society, 1942 Not ...
Barnard, R. W., Goldstine, H. H.
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Modular Convergence in H-Orlicz Spaces of Banach Valued Functions
Rendiconti del Circolo Matematico di Palermo Series 2, 2023 In this article we develop the theory of $H$-Orlicz space generated by generalised Young function. Modular convergence of $H$-Orlicz space for the case of vector-valued functions and norm convergence in $\mcH^θ(X, \barμ)$ where $X$ is any Banach space are discussed.
Hemanta Kalita, Bipan Hazarika
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Asymptotically Nonexpansive Mappings in Modular Function Spaces
Journal of Mathematical Analysis and Applications, 2002 Plan Andaluz de Investigación (Junta de Andalucía)
Domínguez Benavides, Tomás +2 more
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Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph
International Journal of Mathematics and Mathematical Sciences, 2020 The purpose of this work is to extend the Knaster–Tarski fixed-point theorem to the wider field of reflexive digraph. We give also a DeMarr-type common fixed-point theorem in this context.
Jaauad Jeddi +2 more
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Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph
Abstract and Applied Analysis, 2020 The aim of this paper is to give fixed point theorems for G-monotone ρ-nonexpansive mappings over ρ-compact or ρ-a.e. compact sets in modular function spaces endowed with a reflexive digraph not necessarily transitive.
Jaauad Jeddi +2 more
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