The purpose of this article is to point out a mistake in the published paper Graphs hyperbolic groups and limit set intersection theorem- Proc AMS, vol 146, no 5, pp 1859--1871, which subsequently weakens main theorem that paper. We state prove weaker result note.

One of the fundamental results regarding intersection bodies is Busemann’s theorem, which states that the intersection body of a symmetric convex body is convex. Thus, it is natural to ask how much of convexity is guaranteed under the intersection body operation. In this paper we provide several results about the (strict) improvement of convexity for intersection bodies of symmetric bodies of r...

in the present paper, measure differential equations involving the distributional henstock-kurzweil integral are investigated. theorems on the existence and structure of the set of solutions are established by using schauder$^prime s$ fixed point theorem and vidossich theorem. two examples of the main results paper are presented. the new results are generalizations of some previous results in t...

. . (3/20/17) Today I learned that every if R is a ring and if S ⊂ R is a multiplicative subset of R not containing 0, then the prime ideals of R whose intersection with S is empty are in one to one correspondence with the prime ideals of RS , the ring localizing S. The way I look at this is to think, well, if I want a prime ideal in RS from an ideal in R, say, I, if I ∩ S = ∅, then you really ...


 a variant of fixed point theorem is proved in the setting of s-metric spaces

Abstract In this paper we propose a basic fixed-point theorem for correspondences inspired by Tarski’s intersection point theorem. This result furnishes an efficient tool to prove the existence of pure strategy Nash equilibria two player games with possibly discontinuous payoffs functions defined on compact real intervals.