Results 121 to 130 of about 498,513 (254)

A Detailed Study of ABC‐Type Fractal–Fractional Dynamical Model of HIV/AIDS

open access: yesComputational and Mathematical Methods, Volume 2025, Issue 1, 2025.
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

Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings

open access: yesFixed Point Theory and Applications, 2008
We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Saejung Satit, Nilsrakoo Weerayuth
doaj   +2 more sources

Weak convergence theorem for Passty type asymptotically nonexpansive mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we prove a convergence theorem for Passty type asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm.
B. K. Sharma, B. S. Thakur, Y. J. Cho
doaj   +1 more source

A Note on the class of superreflexive almost transitive Banach spaces [PDF]

open access: yesarXiv, 2008
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  

Iterative scheme for a nonexpansive mapping, an η-strictly pseudo-contractive mapping and variational inequality problems in a uniformly convex and 2-uniformly smooth Banach space

open access: yes, 2013
In this paper, we introduce an iterative scheme by the modification of Mann’s iteration process for finding a common element of the set of solutions of a finite family of variational inequality problems and the set of fixed points of an η-strictly pseudo-
A. Kangtunyakarn
semanticscholar   +1 more source

A New Iterative Scheme of Modified Mann Iteration in Banach Space

open access: yesAbstract and Applied Analysis, 2014
We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space.
Jinzuo Chen, Dingping Wu, Caifen Zhang
doaj   +1 more source

Best proximity pair theorems for relatively nonexpansive mappings

open access: yesApplied General Topology, 2009
Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation Tx = x does not possess a solution when
V. Sankar Raj, P. Veeramani
doaj   +1 more source

k-β and k-nearly uniformly convex Banach spaces

open access: yesJournal of Mathematical Analysis and Applications, 1991
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

A Bound for the Modulus of Continuity for Metric Projections in a Uniformly Convex and Uniformly Smooth Banach Space

open access: yes, 1996
In 1979, Bjornestal obtained a local estimate for a modulus of uniform continuity of the metric projection operator on a closed subspace in a uniformly convex and uniformly smooth Banach spaceB.
Y. Alber
semanticscholar   +1 more source

On sets minimizing their weighted length in uniformly convex separable Banach spaces [PDF]

open access: yesarXiv, 2013
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  

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