Results 41 to 50 of about 476,682 (147)
On Quasihyperbolic Geodesics in Banach Spaces [PDF]
Ann. Acad. Sci. Fenn. Math. 39 (2014), 163-173, 2013 We study properties of quasihyperbolic geodesics on Banach spaces. For example, we show that in a strictly convex Banach space with the Radon-Nikodym property, the quasihyperbolic geodesics are unique. We also give an example of a convex domain $\Omega$ in a Banach space such that there is no geodesic between any given pair of points $x, y \in \Omega\,.
arxiv +1 more source
Compression functions of uniform embeddings of groups into Hilbert and Banach spaces
, 2008 We construct finitely generated groups with arbitrary prescribed Hilbert space compression \alpha from the interval [0,1]. For a large class of Banach spaces E (including all uniformly convex Banach spaces), the E-compression of these groups coincides ...
Arzhantseva, Goulnara +2 more
core +1 more source
Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain [PDF]
, 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
core +2 more sources
An alternating procedure for operators on uniformly convex and uniformly smooth Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1991 let X be a real uniformly convex and uniformly smooth Banach space.
Zong Ben Xu, G. F. Roach
openaire +1 more source
Coarse embedding into uniformly convex Banach spaces
Chinese Annals of Mathematics, Series B, 2014 14 ...
openaire +3 more sources
Proper actions on $\ell^p$ spaces for relatively hyperbolic groups
, 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
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
wiley +1 more source
Manifolds of semi-negative curvature
, 2008 The notion of nonpositive curvature in Alexandrov's sense is extended to include p-uniformly convex Banach spaces. Infinite dimensional manifolds of semi-negative curvature with a p-uniformly convex tangent norm fall in this class on nonpositively curved
Conde, Cristian, Larotonda, Gabriel
core +2 more sources
The coarse geometric Novikov conjecture and uniform convexity [PDF]
, 2005 The coarse geometric Novikov conjecture provides an algorithm to determine when the higher index of an elliptic operator on a noncompact space is nonzero.
Kasparov, Gennadi, Yu, Guoliang
core +3 more sources
Mathematical Methods in the Applied Sciences, EarlyView.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