Results 21 to 30 of about 10,724 (253)
Monotonicity in Modular Function Spaces Equipped with O-norm
Journal of Harbin University of Science and TechnologyModular function spaces are extensions of Lebesgue spaces and Orlicz spaces. We introduce Orlicz norm in Modular function spaces, and study the monotonicity in modular function spaces equipped with O-norm and L-norm.
HU Xuemei, CUI Yunan
doaj +1 more source
Journal of Function Spaces, 2018 Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued ...
Godwin Amechi Okeke +2 more
doaj +1 more source
Modular functionals and perturbations of Nakano spaces
Journal of Logic and Analysis, 2009 We settle several questions regarding the model theory of Nakano spaces left open by the PhD thesis of Pedro Poitevin \cite{Poitevin:PhD}. We start by studying isometric Banach lattice embeddings of Nakano spaces, showing that in dimension two and above such embeddings have a particularly simple and rigid form.
openaire +5 more sources
Best approximants in modular function spaces
Journal of Approximation Theory, 1990 The paper is dealing with existence of elements of best approximation in modular spaces. Modular spaces are natural generalizations of \(L_ p\), \(p>0\), Orlicz, Lorentz and Köthe spaces [see \textit{W. M. Kozlowski}, Modular function spaces 122 (1988; Zbl 0661.46023)].
Kilmer, Shelby J +2 more
openaire +1 more source
Developments in Modular Space Fixed Point Theory
MathematicsThis survey article offers a snapshot view of the present state of fixed point theory within modular spaces, highlighting fundamental principles and their applications.
Wojciech M. Kozlowski
doaj +1 more source
Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges
Journal of High Energy Physics, 2022 We show that the stringy Kähler moduli space of a generic genus one curve of degree N, for N ≤ 5, is the Γ1(N) modular curve X 1(N). This implies a correspondence between the cusps of the modular curves and certain large volume limits in the stringy ...
Thorsten Schimannek
doaj +1 more source
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
doaj +1 more source
Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
FEBS Letters, EarlyView.The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source
A Note on the Kadec-Klee Property
AxiomsThe objective of this paper is to rigorously define the Kadec-Klee property for modular spaces endowed with a sequential convergence structure, and to demonstrate that this property leads to normal structure in such spaces.
Wojciech M. Kozlowski
doaj +1 more source
On Monotone Asymptotic Pointwise Nonexpansive Mappings in Modular Function Spaces
Journal of Function Spaces, 2019 In this work, we investigate the existence of the fixed points of a monotone asymptotic pointwise nonexpansive mapping defined in a modular function space. Our result extends the fixed point result of Khamsi and Kozlowski.
B. A. Bin Dehaish
doaj +1 more source