in this paper, we generalize fuzzy banach contraction theorem establishedby v. gregori and a. sapena [fuzzy sets and systems 125 (2002) 245-252]using notion of altering distance which was initiated by khan et al. [bull. austral.math. soc., 30(1984), 1-9] in metric spaces.

For reliability-based topology optimization (RBTO) of double layer grids, a two-stage optimization method is presented by applying “Solid Isotropic Material with Penalization” and “Ant Colony Optimization” (SIMP-ACO method). To achieve this aim, first, the structural stiffness is maximized using SIMP. Then, the characteristics of the obtained topology are used to enhance ACO through six modific...

We consider the transitive linear maps on the operator algebra $B(X)$for a separable Banach space $X$. We show if a bounded linear map is norm transitive on $B(X)$,then it must be hypercyclic with strong operator topology. Also we provide a SOT-transitivelinear map without being hypercyclic in the strong operator topology.

This paper offers a systematic study of family graphs called amoebas. Amoebas recently emerged from the forced patterns in $2$-colorings edges complete graph context Ramsey-Turan theory and played an important role extremal zero-sum problems. are %with unique behavior with regards to defined by means following operation: Let $G$ be let $e\in E(G)$ $e'\in E(\overline{G})$. If $G'=G-e+e'$ is isom...

It is proved analogues of the classical Wiman's inequality} for class $\mathcal{D}$ absolutely convergents in whole complex plane $\mathbb{C}^p$ (entire) Dirichlet series form $\displaystyle F(z)=\sum\limits_{\|n\|=0}^{+\infty} a_ne^{(z,\lambda_n)}$ with such a sequence exponents $(\lambda_n)$ that $\{\lambda_n\colon n\in\mathbb{Z}^p\}\subset \mathbb{C}^p$ and $\lambda_n\not=\lambda_m$ all $n\n...

We interpolate a new family of Teichm\"uller spaces $T_{\sharp}^X$ between the universal space $T$ and its little subspace $T_0$, which we call piecewise symmetric homeomorphisms. This is defined by prescribing subset $X$ unit circle. The inclusion relation induces natural $T_{\sharp}^X$, an approximation given increasing sequence $T_{\sharp}^X$. In this paper, discuss fundamental properties fr...

among structured peer-to-peer systems, chord has a general popularity due to its salient features like simplicity, high scalability, small path length with respect to network size, and flexibility on node join and departure. however, chord doesn’t take into account the topology of underlying physical network when a new node is being added to the system, thus resulting in high routing latency an...