Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X . Let T : C→ C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover, we prove that if T is uniformly L-Lipschitzian and completely continuous, then the iterative scheme converges strongly to some fixed point...

<p>In the realm of convergence spaces, generalisation topological groups is groups, and corresponding extension Pontryagin duality continuous duality. We prove that local quasi-convexity a necessary condition for group to be c-reflexive. Further, we every character locally quasi-convex.</p>

We study subgroups of SL ( 3 , R ) ⋉ $\mathrm{SL}(3,\mathbb {R})\ltimes \mathbb {R}^3$ obtained by adding a translation part to the holonomy finite-volume convex projective surface. Under natural condition on translations added peripheral parabolic elements, we show that affine action group $\mathbb has domains discontinuity which are regular, generalizing result Mess for globally hyperbolic fl...

We deene an analogue of the Gibbs{Curie energy for quasi{crystals. We show that there exists a Wull{type shape optimizing this energy, which is always a convex polytope. This way we can model the triacontahedron and the dodecahedron as shapes of quasi{crystals, according to reality. We also provide a shorter proof for the well{known formula for the number of points of a non{periodic set in a la...