In the present paper, we discuss a nonlocal modification of Kerr metric. Our starting point is Kerr–Schild form metric gμν=ημν+Φlμlμ. Using Newman’s approach, identify shear free null congruence l with generators cone apex at p in complex space. The obtained if potential Φ chosen to be solution flat Laplace equation for source p. To construct metric, modify operator ▵ by its version exp(−ℓ2▵)▵....

In this paper, the poset $BX$ of formal balls is studied in fuzzy partial metric space $(X,p,*)$. We introduce the notion of layered complete fuzzy partial metric space and get that the poset $BX$ of formal balls is a dcpo if and only if $(X,p,*)$ is layered complete fuzzy partial metric space.

A subset M of a topological space 5 is said to have a convex metric (even though S may have no metric) if the subspace M of 5 has a convex metric. It is known [5 J that a compact continuum is locally connected if it has a convex metric. The question has been raised [5] as to whether or not a compact locally connected continuum M can be assigned a convex metric. Menger showed [5] that M is conve...

We are concerned with function approximation and image representation using Iterated Function Systems (IFS) over L p (X;): An N-map IFS with grey level maps (IFSM), to be denoted as (w;), is a set w of N contraction maps w i : X ! X over a compact metric space (X; d) (the \base space") with an associated set of maps i : R ! R. Associated with each IFSM is a contractive operator T with xed point...

Based on Stein’s method, we derive upper bounds for Poisson process approximation in the L1-Wasserstein metric d (p) 2 , which is based on a slightly adapted Lp-Wasserstein metric between point measures. For the case p = 1, this construction yields the metric d2 introduced in [Barbour, A. D. and Brown, T. C. (1992), Stochastic Process. Appl. 43(1), pp. 9–31], for which Poisson process approxima...

As a step toward development of a method for nonperturbative solution of fourdimensional quantum field theories, we consider a single-fermion truncation of Yukawa theory in discrete light-cone quantization (DLCQ). 1 To regulate the theory we introduce Pauli-Villars (PV) bosons with indefinite metric 2 into the Fock basis. This extends earlier work on model theories by Brodsky, Hiller and McCart...