INTRODUCTION Let F be a family of convex sets in R. A geometric transversal is an affine subspace that intersects every member of F . More specifically, for a given integer 0 ≤ k < d, a k-dimensional affine subspace that intersects every member of F is called a ktransversal to F . Typically, we are interested in necessary and sufficient conditions that guarantee the existence of a k-transversal...

INTRODUCTION Let F be a family of convex sets in R. A geometric transversal is an affine subspace that intersects every member of F . More specifically, for a given integer 0 ≤ k < d, a k-dimensional affine subspace that intersects every member of F is called a ktransversal to F . Typically, we are interested in necessary and sufficient conditions that guarantee the existence of a k-transversal...

In this paper, by using a new concept of strong convexity, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric weak vector equilibrium problem in the case where the solution mapping is a general set-valued one. Without strong monotonicity assumptions, the Holder continuity for solution maps to parametric weak vector optimization problems is discussed.

We develop a level set theory for the mean curvature evolution of surfaces with arbitrary co-dimension, thus generalizing the previous work [6, 13] on hypersurfaces. The main idea is to surround the evolving surface of co-dimension k in R by a family of hypersurfaces (the level sets of a function) evolving with normal velocity equal to the sum of the (d − k) smallest principal curvatures. The e...

A web of corruption involving the Assad family, the security apparatus, and their business cohorts has been a major factor behind the outbreak of the Syrian revolt that started in 2011. UN-facilitated talks between the regime and the opposition are set to convene in Geneva in January 2016, after the refugee crisis in Europe and Russia’s entry into the Syrian war prompted a renewed international...

In 2010, the United States adopted its first-ever comprehensive set of health system reforms in the Affordable Care Act (ACA). Implementation of the law, though politically contentious and controversial, has now reached a stage where reversal of most elements of the law is no longer feasible. The controversial portions of the law that expand affordable health insurance coverage to most U.S. cit...