We study a behavior of the conformal Laplacian operatorLg on a manifold with tame conical singularities: when each singularity is given as a cone over a product of the standard spheres. We study the spectral properties of the operator Lg on such manifolds. We describe the asymptotic of a general solution of the equation Lgu = Qu α with 1 ≤ α ≤ n+2 n−2 near each singular point. In particular, we...

The notions of directed distances, quasi-metrics and oriented multi-cuts are generalizations of the notions of distances, metrics and cuts, which are central objects in graph theory and combinatorial optimization. Define a quasi-semi-metric on X as a function d from X2 to R+, such that for all x, y, z ∈ X , d(x, y) ≥ 0, d(x, x) = 0, and d(x, y) ≤ d(x, z) + d(z, y). If the first inequality is st...

Here we have studied the notion of rough I-convergence as an extension work idea convergence in a cone metric space using ideals. We further introduced I∗-convergence sequences to find relationship between I and sequences.