Finite Dimesional Spaces Vol.II

Finite Dimesional Spaces

We assume that a flat space E with translation space V is given and we put n := dimE = dimV. Let B be a norming cell of V (see Vol.I, Sect.51). A concept of volume for the space E should have the following property: If the norming cell B has volume 1, then a cell in E modelled on B of a given scale s ∈ P I has volume s. (Recall that such a cell is a set of the form q + sB, with q ∈ E .) Intuiti...

A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces

In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.

Stochastic Geometry and Wireless Networks; Vol.II: Applications

Finite Volume Superconvergence Approximation for One-dimesional Singularly Perturbed Problems

We analyze finite volume schemes of arbitrary order r for the one-dimensional singularly perturbed convection-diffusion problem on the Shishkin mesh. We show that the error under the energy norm decays as (Nln(N + 1)), where 2N is the number of subintervals of the primal partition. Furthermore, at the nodal points, the error in function value approximation super-converges with order (Nln(N + 1)...

Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces

 After the classification of the flag-transitive linear spaces, the attention has been turned to line-transitive linear spaces. In this article, we present a partial classification of the finite linear spaces $mathcal S$ on which an almost simple group $G$ with the socle $G_2(q)$ acts line-transitively.