Results 81 to 90 of about 498,513 (254)

Qualitative Study of a Dynamical System for Computer Virus Propagation—A Nonstandard Finite‐Difference‐Methodological View

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9272-9291, 30 May 2025.
ABSTRACT In this article, we consider a nonlinear model that was originally proposed for computer virus propagation by Gan and coauthors in 2013. As our first contribution, we re‐examined and extended some analytical results regarding this dynamical system. Secondly, we reformulated it by one nonlinear, nonautonomous differential equation.
Benjamin Wacker
wiley   +1 more source

Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain

open access: yesAbstract and Applied Analysis, 2014
We use a three-step iterative process to prove some strong and Δ-convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain.
Safeer Hussain Khan
doaj   +1 more source

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]

open access: yes, 2017
We construct finitely generated groups with arbitrary prescribed Hilbert space compression α ∈ [0, 1]. This answers a question of E. Guentner and G. Niblo.
Arzhantseva, Goulnara   +2 more
core  

Proper actions on $\ell^p$ spaces for relatively hyperbolic groups

open access: yes, 2019
We show that for any group $G$ that is hyperbolic relative to subgroups that admit a proper affine isometric action on a uniformly convex Banach space, then $G$ acts properly on a uniformly convex Banach space as well.Comment: 28 pages ...
Chatterji, Indira, Dahmani, François
core   +3 more sources

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley   +1 more source

Existence Results of best Proximity Pairs for a Certain Class of Noncyclic Mappings in Nonreflexive Banach Spaces Polynomials

open access: yesپژوهش‌های ریاضی, 2018
Introduction Let  be a nonempty subset of a normed linear space . A self-mapping  is said to be nonexpansive provided that  for all . In 1965, Browder showed that every nonexpansive self-mapping defined on a nonempty, bounded, closed and convex subset of
Moosa Gabeleh
doaj  

On Fixed Point Property under Lipschitz and Uniform Embeddings

open access: yesJournal of Function Spaces, 2018
We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has ...
Jichao Zhang, Lingxin Bao, Lili Su
doaj   +1 more source

Local Analysis of Inverse Problems: H\"{o}lder Stability and Iterative Reconstruction

open access: yes, 2012
We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a Banach space which is smooth and uniformly convex; however, the data space
Ammari H   +12 more
core   +1 more source

Mean‐field limit of non‐exchangeable systems

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.
Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin   +2 more
wiley   +1 more source

Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications

open access: yesJournal of Applied Mathematics, 2013
Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space.
Zi-Ming Wang, Poom Kumam
doaj   +1 more source

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