We introduce a generalized additivity of a mapping between Banach spaces and establish the Ulam type stability problem for a generalized additive mapping. The obtained results are somewhat different from the Ulam type stability result of Euler-Lagrange type mappings obtained by H. -M. Kim, K. -W. Jun and J. M. Rassias.

in the present paper, we introduces the notion of integral type contractive mapping with respect to ordered s-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered s-metric space. moreover, we give an example to support our main result.

Previous genetic analysis showed that the polar effects of mutations in the hisG cistron of Salmonella typhimurium are dependent on the presence of a single putative transcription termination element within the hisG gene. In fact, all proximal mutations causing translation termination are strongly polar, whereas distal ones are not. The element was mapped by isolating mutations able to relieve ...

Let f be an entire function, f(0) = 1, F(z) zf′ (z)/f(z), and Γm $$\bigcup_{j=1}^{m}\left\{z:\mathrm{arg}z={\psi }_{j}\right\},$$ 0 ≤ ψ1 < ψ2 ...< ψm 2π. An function is called a of improved regular growth if for some ρ ∈ (0;+∞) ρ2 (0; ρ), 2π-periodic ρ-trigonometrically convex h(φ) ≢ −∞, there exists set U ⊂ $${\mathbb{C}}$$ contained in the union disks with finite sum radii such that $$\begin{...

We use a discrete-time formulation of the asymmetric avalanche process (ASAP) [Phys. Rev. Lett. 87, 084301 (2001)]] of p particles on a finite ring of N sites to obtain an exact expression for the average avalanche size as a function of toppling probabilities and particle density rho=p/N. By mapping the model onto driven interface problems, we find that the ASAP incorporates the annealed Kardar...

The low-lying bottomoniumlike tetraquarks $b\overline{b}q\overline{q}$ ($q=u$, $d$, $s$) with spin-parity ${J}^{P}={0}^{+}$, ${1}^{+}$, and ${2}^{+}$, isospin $I=0$, 1, or $\frac{1}{2}$, are systematically investigated within the theoretical framework of real- complex-scaling range a chiral quark model, which has already been successfully applied in analysis several multiquark systems. A comple...

‎in this paper, based on [a. razani, v. rako$check{c}$evi$acute{c}$ and z. goodarzi, nonself mappings in modular spaces and common fixed point theorems, cent. eur. j. math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $t$ in the modular space $x_rho$ is presented. moreover, we study a new version of krasnoseleskii's fixed point theorem for $s+t$, where $t$ is a cont...

Expression of 5 yeast mitochondrial tRNA genes (Ala, Ile, Tyr, Asn and Metm), localized upstream from the oxil gene has been analyzed by in vitro capping using guanylyltransferase, northern hybridization and S1 nuclease mapping in the wild type and a rho-strain. The 5 tRNA sequences belong to the same transcriptional unit which is initiated 133 bp upstream from the tRNA(Ala) gene at a promoter ...

1 Galie N, Hoeper MM, Humbert M, et al. Guidelines for the diagnosis and treatment of pulmonary hypertension. Eur Respir J 2009; 34: 1219–1263. 2 Somlyo AP, Somlyo AV. Signal transduction by G-proteins, rhokinase and protein phosphatase to smooth muscle and non-muscle myosin II. J Physiol 2000; 522: 177–185. 3 Etienne-Manneville S, Hall A. Rho GTPases in cell biology. Nature 2002; 420: 629–635....

Thrombin induces astrocytoma cell rounding through a Rho-dependent pathway (Majumdar, M., Seasholtz, T. M., Goldstein, D., de Lanerolle, P., and Brown, J. H. (1998) J. Biol. Chem. 273, 10099-10106). The involvement of the G(12) family of G proteins and the role of specific Rho exchange factors in transducing signals from the thrombin receptor to Rho-dependent cytoskeletal responses was examined...