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Recently, several convergence rate results for Douglas-Rachford splitting and the alternating direction method of multipliers (ADMM) have been presented in the literature. In this paper, we show linea...
In this paper, a new generalized contractive condition is introduced in metric space. By the condition and without the normality of the cone, the existence of common fixed points of multivalued mappin...
Abstract: Motivated by the recent work on conditional risk measures, this paper studies the Ekeland's variational principle for a proper, lower semicontinuous and lower bounded $\bar{L}^{0}-$valued fu...
Abstract: We show how the $A_\infty$ class of weights can be considered as a metric space. As far as we know this is the first time that a metric d is considered on this set. We use this metric to gen...
Magnitude is a numerical invariant of finite metric spaces, recently introduced by T. Leinster, which is analogous in precise senses to the cardinality of finite sets or the Euler characteristic of to...
The magnitude of metric spaces      magnitude  metric spaces        2011/2/28
Magnitude is a real-valued invariant of metric spaces, analogous to the Euler characteristic of topological spaces and the cardinality of sets. The de nition of magnitude is a special case of a gener...
A metric space is a set M together with a real-valued function d(x, y)defined for x, y ∈ M that satisfies the following three conditions. First,d(x, y) ≥ 0 for every x, y ∈ M, and d(x, y) = 0 if and o...
A number of recent results in Euclidean Harmonic Analysis have exploited several adjacent systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such constructions to gene...
We are interested in studying doubling metric spaces with the property that at some of the points the metric tangent is unique. In such a setting, Finsler-Carnot-Carath´eodory geometries and Car...
Consider a metric graph G with set of vertices V . Assume that for every vertex in V one is given a Wentzell boundary condition. It is shown how one can construct the paths of a Brownian motion on G s...
Pathwise constructions of Brownian motions which satisfy all possible boundary conditions at the vertex of single vertex graphs are given.
Brownian motions on a metric graph are defined, their Feller property is proved, and their generators are characterized. This yields a version of Feller’s theorem for metric graphs.
We study the boundary asymptotics of asymptotically complex hyperbolic (ACH) solution of the Einstein equation in terms of the induced partially integrable almost CR structure T1,0 on the boundary. On...
Let  be a polar space of rank n and let Gk(), k 2 {0, . . . , n−1} be the polar Grassmannian formed by k-dimensional singular subspaces of .The corresponding Grassmann graph will be denoted b...
Let (X, d, μ) be a metric measure space and satisfy the so-called upper dou-bling condition and the geometrically doubling condition. In this paper, the authors introduce the space RBLO(μ) and prove t...

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