We introduce a new iterative scheme by modifying Mann’s iteration method to find a common element for the set of common fixed points of an infinite family of asymptotically strictly pseudocontractive mappings in the intermediate sense, the set of solutions of the cocoercive quasivariational inclusions problems, and the set of solutions of the mixed equilibrium problems in Hilbert spaces. The st...

We show that for any infinite cardinal κ , every complete lattice where each element has at most one complement can be regularly embedded into a uniquely complemented κ-complete lattice. This regular embedding preserves all joins and meets, in particular it preserves the bounds of the original lattice. As a corollary, we obtain that every lattice where each element has at most one complement ca...

A finite element method is described for solving Helmholtz type boundary value problems in unbounded regions, including those with infinite boundaries. Typical examples include the propagation of acoustic or electromagnetic waves in waveguides. The radiation condition at infinity is based on separation of variables and differs from the classical Sommerfeld radiation condition. It is shown that ...

Dispersion curves of elastic guided waves in plates can be efficiently computed by the StripElement Method. This method is based on a finite-element discretization in the thickness direction of the plate and leads to an eigenvalue problem relating frequencies to wavenumbers of the wave modes. In this paper we present a rigorous mathematical background of the Strip-Element Method for anisotropic...

We consider the subgroup lpGk,1 of length preserving elements of the Thompson-Higman group Gk,1 and we show that all elements of Gk,1 have a unique lpGk,1 · Fk,1 factorization. This applies to the Thompson-Higman group Tk,1 as well. We show that lpGk,1 is a “diagonal” direct limit of finite symmetric groups, and that lpTk,1 is a k ∞ Prüfer group. We find an infinite generating set of lpGk,1 whi...

If G is a finitely generated group with generators {g1, . . . , gj} then an infinite order element f ∈ G is a distortion element of G provided lim inf n→∞ |f|/n = 0, where |f| is the word length of f in the generators. Let S be a closed orientable surface and let Diff(S)0 denote the identity component of the group of C diffeomorphisms of S. Our main result shows that if S has genus at least two...

Consider the following two questions. (1) When does a compact Lie group G ⊂ U(n) have an element g ∈ G possessing exactly two eigenvalues? (2) When does a compact Lie group G ⊂ U(n) have a cocharacter U(1) → G such that the compositionU(1) → U(n) is a representation ofU(1)with exactly two weights? A solution to the second problem gives a family of solutions to the first, by choosing g to be alm...

The SGBEM-FEM alternating method suitable for the solution of elastic and elasticplastic three-dimensional fracture mechanics problems is presented. The crack is modeled by the symmetric Galerkin boundary element method (SGBEM), as a distribution of displacement discontinuities in an infinite medium. The finite element method (FEM) is used for stress analysis of the uncracked finite body. The s...