Results 31 to 40 of about 3,082,536 (295)
Journal of Applied Mathematics, 2012 Let 𝑋 be a uniformly convex Banach space and 𝒮={𝑇(𝑠)∶0≤𝑠0𝐹(𝑇(𝑠))≠∅. Consider the iterative method that generates the sequence {𝑥𝑛} by the algorithm 𝑥𝑛+1=𝛼𝑛𝑓(𝑥𝑛)+𝛽𝑛𝑥𝑛+(1−𝛼𝑛−𝛽𝑛)(1/𝑠𝑛)∫𝑠𝑛0𝑇(𝑠)𝑥𝑛𝑑𝑠,𝑛≥0, where {𝛼𝑛}, {𝛽𝑛}, and {𝑠𝑛} are three sequences ...
Haiqing Wang, Yongfu Su, Hong Zhang
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Some remainders properties of uniform spaces and uniformly continuous mappings [PDF]
AIP Conference Proceedings, 2019 In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings.
B. E. Kanetov +2 more
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Exponential law for uniformly continuous proper maps
Publicacions Matemàtiques, 1988 The purpose of this note is to prove the exponential law for uniformly continuous proper maps.
Ayala, R., Domínguez, E., Quintero, A.
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On the uniformly continuity of the solution map for two dimensional wave maps
Electronic Journal of Qualitative Theory of Differential Equations, 2003 Summary: The aim of this paper is to analyse the properties of the solution map to the Cauchy problem for the wave map equation with a source term, when the target is the hyperboloid \({\mathcal H}^2\) that is embedded in \(\mathbb{R}^3\). The initial data are in \({\dot H}^1\times L^2\). We prove that the solution map is not uniformly continuous.
Georgiev, S., Georgieva, P.
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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Related G-metrics and Fixed Points
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 For a single valued mapping T in a G-complete G-metric space (X, d), we show that if Tn,for some n> 1, is a contraction, then T itself is a contraction under another related G-metric d′. We establish moreover that if T is uniformly continuous, then d′ is
Gaba Yaé Ulrich O.
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Bifurcation behaviors shape how continuous physical dynamics solves discrete Ising optimization
Nature Communications, 2023 Simulating physical dynamics to solve hard combinatorial optimization has proven effective for medium- to large-scale problems. The dynamics of such systems is continuous, with no guarantee of finding optimal solutions of the original discrete problem ...
Juntao Wang +4 more
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FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
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Iterative approximation of fixed point for Φ-hemicontractive mapping without Lipschitz assumption
International Journal of Mathematics and Mathematical Sciences, 2005 Let E be an arbitrary real Banach space and let K be a nonempty closed convex subset of E such that K+K⊂K. Assume that T:K→K is a uniformly continuous and Φ-hemicontractive mapping.
Xue Zhiqun
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Topological entropy for nonuniformly continuous maps
Discrete and Continuous Dynamical Systems, 2008 The topological entropy of a continuous self-map of a compact metric space can be defined in several distinct ways; when the space is not assumed compact, these definitions can lead to distinct invariants. The original, purely topological invariant defined by Adler et. al. is infinite if the system has at least one orbit with empty limit set. The Bowen-
Hasselblatt, Boris +2 more
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