A Detailed Study of ABC‐Type Fractal–Fractional Dynamical Model of HIV/AIDS
This paper is aimed at studying the dynamics of community transmission of HIV by constructing a fractal fractional mathematical model whose kernel is a generalized Mittag–Leffler type. First, we collect and analyze statistical data for epidemiological surveillance of HIV/AIDS prevalence in Yemen from 2000 to 2022.
Mansour A. Abdulwasaa+6 more
wiley +1 more source
In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi+3 more
wiley +1 more source
A Note on the class of superreflexive almost transitive Banach spaces [PDF]
The class J of simultaneously almost transitive, uniformly convex and uniformly smooth Banach spaces is characterized in terms of convex-transitivity and weak geometry of the norm.
arxiv
k-β and k-nearly uniformly convex Banach spaces
vol. 162, No. 2, 1991 k-β and k-Nearly Uniformly Convex Banach Spaces Denka Kutzarova Different uniform geometrical properties have been defined between the uniform convexity and the reflexivity of Banach spaces. In the present paper we introduce other properties of this type, namely k-β and k-nearly uniform convexity.
Denka Kutzarova, Denka Kutzarova
openaire +2 more sources
On sets minimizing their weighted length in uniformly convex separable Banach spaces [PDF]
We study existence and partial regularity relative to the weighted Steiner problem in Banach spaces. We show $C^1$ regularity almost everywhere for almost minimizing sets in uniformly rotund Banach spaces whose modulus of uniform convexity verifies a Dini growth condition.
arxiv
Continuity of metric projections in uniformly convex and uniformly smooth Banach spaces
AbstractThe continuity of the metric projection onto an approximatively compact set in a uniformly convex and uniformly smooth Banach space is investigated. An explicit modulus of continuity for the metric projection which depends on the directional radius of curvature at a certain point of the set is obtained.
openaire +2 more sources
A short note on the Radon-Riesz property for continuous Banach space valued functions [PDF]
We present a generalization of the Radon-Riesz property to sequences of continuous functions with values in uniformly convex and uniformly smooth Banach spaces.
arxiv
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings [PDF]
In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Bessel operators and Banach valued BMO-functions.
Betancor, Jorge J.+2 more
core
The alternating algorithm in a uniformly convex and uniformly smooth Banach space
Abstract Let X be a uniformly convex and uniformly smooth Banach space. Assume that the M i , i = 1 , … , r , are closed linear subspaces of X, P M i is the best approximation operator to the linear subspace M i , and M : = M 1 + ⋯ + M r .
openaire +2 more sources
Mordukhovich derivatives of the normalized duality mapping in Banach spaces [PDF]
In this paper, we investigate some properties of the Mordukhovich derivatives of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banach spaces L1 and C[0,1].
arxiv