in this paper, we investigate the concept of topological stationary for locally compact semigroups. in [4], t. mitchell proved that a semigroup s is right stationary if and only if m(s) has a left invariant mean. in this case, the set of values ?(f) where ? runs over all left invariant means on m(s) coincides with the set of constants in the weak* closed convex hull of right translates of f. th...

In this paper we give some geometric characterizations of locally convex hypersurfaces. In particular, we prove that for a given locally convex hypersurface M with boundary, there exists r > 0 depending only on the diameter of M and the principal curvatures of M on its boundary, such that the r-neighbourhood of any given point on M is convex. As an application we prove an existence theorem for ...

Title of dissertation: TWIST-BULGE DERIVATIVES AND DEFORMATIONS OF CONVEX REAL PROJECTIVE STRUCTURES ON SURFACES Terence Dyer Long, Doctor of Philosophy, 2015 Dissertation directed by: Professor Scott Wolpert Department of Mathematics Let S be a closed orientable surface with genus g > 1 equipped with a convex RP structure. A basic example of such a convex RP structure on a surface S is the one...

The thickness (or minimum width) of a convex body K in Euclidean space E, d ≥ 2, is the minimal distance between two distinct parallel supporting hyperplanes of K. The body K is said to be reduced if no proper convex subset of K has the same thickness. It is natural to study the notions of thickness and reduced body also in Minkowski spaces (that is, in real normed linear spaces of finite dimen...

the purpose of this paper is to propose a compositeiterative scheme for approximating a common solution for a finitefamily of m-accretive operators in a strictly convex banach spacehaving a uniformly gateaux differentiable norm. as a consequence,the strong convergence of the scheme for a common fixed point ofa finite family of pseudocontractive mappings is also obtained.

the purpose of this paper is to propose a compositeiterative scheme for approximating a common solution for a finitefamily of m-accretive operators in a strictly convex banach spacehaving a uniformly gateaux differentiable norm. as a consequence,the strong convergence of the scheme for a common fixed point ofa finite family of pseudocontractive mappings is also obtained.