recently, choudhury and metiya [fixed points of weak contractions in cone metric spaces, nonlinear analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. weak contractions are generalizations of the banach's contraction mapping, which have been studied by several authors. in this paper, we introduce the notion of $f$-weak contractions and als...

As a quantum gravity cut-off, the species scale Λ s $\Lambda _s$ gets naturally compared to energy of scalar potential V in an EFT. In this note, scale, its rate | ∇ / $|\nabla \Lambda _s|/\Lambda and their field dependence, those is compared. To that end, string compactification leading with same properties as namely, being positive, starting at maximum bulk space going asymptotically zero fir...

Given a prime p, number field $${K}$$ and finite set of places S , let $${K}_S$$ be the maximal pro-p extension unramified outside S. Using Golod–Shafarevich criterion one can often show that $${K}_S/{K}$$ is infinite. In both tame wild cases we construct infinite subextensions with bounded ramification using refined criterion. setting are able to produce asymptotically good extensions in which...

Recently, the LHCb Collaboration reported on evidence for a hidden charm pentaquark state with strangeness, i.e., $P_{cs}(4459)$, in $J/\psi\Lambda$ invariant mass distribution of $\Xi_b^-\to J/\psi \Lambda K^-$ decay. In this work, assuming that $P_{cs}(4459)$ is $\bar{D}^*\Xi_c$ molecular state, we study decay via triangle diagrams $\Xi_b\rightarrow \bar{D}_s^{(*)}\Xi_c\to (\bar{D}^{(*)}\bar{...

Ideal on an arbitrary non-empty set $\Omega$ it's a family of subset $\mathfrak{I}$ the which satisfies following axioms: $\Omega \notin \mathfrak{I}$, if $A, B \in then $A \cup \mathfrak{I}$ and $D \subset A$, \mathfrak{I}$. The ideal theory is very popular branch modern mathematical research. In our paper we study some classes ideals all positive integers $\mathbb{N}$, namely statistical conv...

A bstract study of $$ {B}_c^{+}\to J/\psi {D}_s^{+} B c + → J / ψ D s and {D}_s^{\ast +} ∗ decays using 1...