This paper investigates the use of a complete metric space framework for providing denotational semantics to a real-time process algebra. The study is carried out in a non-interleaving setting and is based on a timed extension of Langerak's bundle event structures, a variant of Winskel's event structures. The distance function of the metric is based on the amount of time to which event structur...

in this paper, the notion of $psi -$weak contraction cite{rhoades} isextended to fuzzy metric spaces. the existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. our resultgeneralizes a result of gregori and sapena cite{gregori}.

‎In this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath  might be called their  definitive versions. Also, we show that there are examples which show that our main theorems are  genuine generalizations of Theorem 3.1 and 3.2 of [M.A. Miandaragh, M. Postolache and S. Rezapour,  {it Approximate fixed points of generalized convex contractions}, Fixed Poi...

Geometric algebra is a mathematical structure that is inherent in any metric vector space, and defined by the requirement that the metric tensor is given by the scalar part of the product of vectors. It provides a natural framework in which to represent the classical groups as subgroups of rotation groups, and similarly their Lie algebras. In this article we show how the geometric algebra of a ...

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...

The study of neutrino pair annihilation into electron-positron pairs ($\nu{\bar \nu}\to e^-e^+$) is astrophysically well-motivated because it a possible powering mechanism for the gamma-ray bursts (GRBs). In this paper, we estimate energy deposition rate (EDR) arising from in equatorial plane slowly rotating black hole geometry modified by broken Lorentz symmetry (induced background bumblebee v...

A tropical ball is a defined by the metric over projective torus. In this paper we show several properties of balls torus and also space phylogenetic trees with given set leaf labels. Then discuss its application to K nearest neighbors (KNN) algorithm, supervised learning method used classify high-dimensional vector into categories looking at centered vector, which contains vectors in space.

Definition 1.2 A real vector space X is called a real normed space if there exists a map || · || : X → IR, such that, for all λ ∈ IR and x, y ∈ X, (i) ||x|| = 0⇔ x = 0; (ii) ||λx|| = |λ| ||x||; (iii) ||x + y|| ≤ ||x|| + ||y|| (triangle inequality). The map || · || is called the norm. If || · || only satisfies (ii) and (iii) then it is called a seminorm. Note that X is automatically a metric spa...