2-Strict Convexity and Continuity of Set-Valued Metric Generalized Inverse in Banach Spaces
Authors investigate the metric generalized inverses of linear operators in Banach spaces. Authors prove by the methods of geometry of Banach spaces that, if X is approximately compact and X is 2-strictly convex, then metric generalized inverses of ...
Shaoqiang Shang, Yunan Cui
doaj +1 more source
Separating sets by upper semicontinuous and Darboux upper semicontinuous functions
Abstract In this paper we characterize the pairs ( A 0 , A 1 ) and ( A − , A + ) of disjoint sets which can be separated by an upper semicontinuous function and by a Darboux upper semicontinuous function.
openaire +1 more source
About extension of upper semicontinuous multi-valued maps and applications [PDF]
International audienceWe formulate a multi-valued version of the Tietze-Urysohn extension theorem. Precisely, we prove that any upper semicontinuous multi-valued map with nonempty closed convex values defined on a closed subset (resp.
Askoura, Youcef
core +4 more sources
Kinetic Modeling of Phosphate‐Based Enzyme Cascade for the Production of Fructose From Starch
A mechanistic kinetic model is developed for a phosphate‐based cascade converting starch to fructose. Mechanistic information was used to formulate rate expression of enzymes, and sensitivity analysis was performed to identify key kinetic parameters for optimization.
Rawia Marafi +5 more
wiley +1 more source
Viable solutions to nonautonomous inclusions without convexity [PDF]
The existence of viable solutions is proven for nonautonomous upper semicontinuous differential inclusions whose right-hand side is contained in the Clarke subdifferential of a locally Lipschitz continuous ...
Tallos, Péter, Kánnai, Zoltán
core
Copula‐based joint modelling of emergency department visits with time‐varying dependence
Abstract Jointly modelling multiple correlated count time series is essential in health services research, where outcomes like emergency visits for mental health and substance use often evolve together. Ignoring these dependencies can obscure meaningful trends and limit the effectiveness of policy evaluation.
Guanjie Lyu, Cindy Feng, Lihui Liu
wiley +1 more source
Transitions between 4-intersection values of planar regions
If A(t) and B(t) are subsets of the Euclidean plane which are continuously morphing, we investigate the question of whether they may morph directly from being disjoint to overlapping so that the boundary and interior of A(t) both intersect the boundary ...
Kathleen Bell, Tom Richmond
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Amenability Constants for Unconditional Sums of Banach Algebras
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source
Double-dual types over the Banach space C(K)
Let K be a compact Hausdorff space and C(K) the Banach space of all real-valued continuous functions on K, with the sup-norm. Types over C(K) (in the sense of Krivine and Maurey) can be uniquely represented by pairs (ℓ,u) of bounded real-valued functions
Markus Pomper
doaj +1 more source
Exact Robust Filtering and Differentiation Based on Sliding Modes and Homogeneity
ABSTRACT This article addresses the problem of online estimation of the derivatives of a signal corrupted by measurement noise. The measured signal is modeled as the sum of a smooth nominal component and a uniformly bounded noise term. A key objective is to attenuate the effect of high‐frequency noise.
Jaime A. Moreno, Arie Levant
wiley +1 more source

