In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.

Following the “spatial turn” of the last 3 decades in humanities and social sciences and the structure of semiotic object, this research studies space as the main semiotic object of Calvino’s (1972) Invisible Cities. Significance of this application resides in examining the possibility of providing a more concrete methodology based on the integration of Zoran’s (1984) 3 vertical levels of const...

In this paper, we prove that the weighted BMO space $${\rm{BM}}{{\rm{O}}^p}(\omega ) = \left\{ {f \in L_{{\rm{loc}}}^1:\mathop {\sup }\limits_Q \left\| {{\chi _Q}} \right\|_{{L^p}(\omega )}^{ - 1}{{\left\| {(f {f_Q}){\omega ^{ 1}}{\chi \right\|}_{{L^p}(\omega )}} < \infty } \right\}$$ is independent of scale p ∈ (0, ∞) in sense norm when ω A1. Moreover, can replace Lp(ω) by Lp,∞(ω). As an appli...

let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . in this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . as an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via the linear operator .

(Les applications militaires du traitement adaptatif espace-temps) The material in this publication was assembled to support a Lecture Series under the Single copies of this publication or of a part of it may be made for individual use only. The approval of the RTA Information Management and Systems Branch is required for more than one copy to be made or an extract included in another publicati...

Previous work has shown the formation of solid particles into thin walls of specified shape using a resonant acoustic field in microgravity. Here these results are summarized, and extended to study the qualitative effects of liquid addition and melting/ solidification in the acoustic field. Pure liquid forms into sheets, even in the 1-g environment, due to the static pressure differences in the...