Coarse metric approximation
نویسندگان
چکیده
منابع مشابه
The Coarse Geometry of the Teichmüller Metric
We study the coarse geometry of the Teichmüller space of a compact surface in the Teichmüller metric. We show that this admits a ternary operation, natural up to bounded distance, which endows the space with the structure of a coarse median space whose rank is equal to the complexity of the surface. We deduce that Teichmüller space satisfies a coarse quadratic isoperimetric inequality. We descr...
متن کاملApproximation of endpoints for multi-valued mappings in metric spaces
In this paper, under some appropriate conditions, we prove some $Delta$ and strong convergence theorems of endpoints for multi-valued nonexpansive mappings using modified Agarwal-O'Regan-Sahu iterative process in the general setting of 2-uniformly convex hyperbolic spaces. Our results extend and unify some recent results of the current literature.
متن کاملClassical metric Diophantine approximation revisited
The idea of using measure theoretic concepts to investigate the size of number theoretic sets, originating with E. Borel, has been used for nearly a century. It has led to the development of the theory of metrical Diophantine approximation, a branch of Number Theory which draws on a rich and broad variety of mathematics. We discuss some recent progress and open problems concerning this classica...
متن کاملVariable Metric Stochastic Approximation Theory
We provide a variable metric stochastic approximation theory. In doing so, we provide a convergence theory for a large class of online variable metric methods including the recently introduced online versions of the BFGS algorithm and its limited-memory LBFGS variant. We also discuss the implications of our results in the areas of eliciting properties of distributions using prediction markets a...
متن کاملBest Approximation in Metric Spaces
A metric space (X, d) is called an M-space if for every x and y in X and for every r 6 [0, A] we have B[x, r] Cl B[y, A — r] = {2} for some z € X, where A = d(x, y). It is the object of this paper to study M-spaces in terms of proximinality properties of certain sets. 0. Introduction. Let (X, d) be a metric space, and G be a closed subset of X. For x E X, let p(x,G) = inf{d(x, y) : y E G}. If t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2016
ISSN: 0166-8641
DOI: 10.1016/j.topol.2016.01.010