it is well known that a microperiodic function mapping a topological group into reals, which is continuous at some point is constant. we introduce the notion of a microperiodic multifunction, defined on a topological group with values in a metric space, and study regularity conditions implying an analogous result. we deal with vietoris and hausdorff continuity concepts.stability of microperiodi...

We shall give a lower estimate of harmonic‎ ‎functions of order greater than one in a half space‎, ‎which‎ ‎generalize the result obtained by B‎. ‎Ya‎. ‎Levin in a half plane‎.

the present research with an emphasis on coffee houses at qajar age has recognized motives and effect of social and political factors such as conditional event in formation of art traditions in coffee house so as to examine the communication function of coffee house painting at this space. coffee house at qajar age has been found as a place for people’s gathering which had communicative-cultura...

In this paper, we first give a description of a surjective unit-preserving real-linear uniform isometry $ T : A longrightarrow B$,  where $ A $ and $ B $ are complex function spaces on compact Hausdorff spaces $ X $ and $ Y $, respectively, whenever ${rm ER}left (A, Xright ) = {rm Ch}left (A, Xright )$ and ${rm ER}left (B, Yright ) = {rm Ch}left (B, Yright )$. Next, we give a description of $ T...

In this paper, we first consider a class of expanding flows closed, smooth, star-shaped hypersurface in Euclidean space R n + 1 with speed u α f − β , where is the support function hypersurface, symmetric, homogenous degree one, positive principal curvatures on convex cone. For ⩽ 0 < prove that flow has unique smooth solution for all time, and converges smoothly after normalization, to sphere c...

‎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...

Matrix functions are used in many areas of linear algebra and arise in numerical applications in science and engineering. In this paper, we introduce an effective approach for determining matrix function f(A)=g(q(A)) of a square matrix A, where q is a polynomial function from a degree of m and also function g can be a transcendental function. Computing a matrix function f(A) will be time- consu...

abstract nowadays, understanding and strengthening of social networks and services in rural settlements and consciously facility and service managing as a rural development planning trend policy not only helps the optimum distribution of facilities and resources in rural areas but physical integrity and structure of the suitable habitat space. village of shirvan, the scope of our study, is one ...