Openness of stability

Stability results of variational systems under linear openness

In this paper we present the notion of (U, V )-openness and (U, V )metric regularity for a set-valued map, proving their equivalence. By using different approaches we show the stability with respect to the sum of maps of the (U, V )-openness property, both in the setting of Banach spaces, and of metric spaces.

Openness leads to Opinion Stability and Narrowness to volatility

Trade openness, capital openness and government size

This paper provides empirical evidence of the relation between trade openness, capital openness and government expenditures in a cross-sectional time-series context. It is shown that capital openness is significantly and negatively related to government expenditures in line with the conventional wisdom that capital mobility may undermine the ability of governments to maintain larger public sect...

Openness of Induced Projections

For continua X and Y it is shown that if the projection f : X × Y → X has its induced mapping C(f) open, then X is C∗-smooth. As a corollary, a characterization of dendrites in these terms is obtained. All spaces considered in this paper are assumed to be metric. A mapping means a continuous function. To exclude some trivial statements we assume that all considered mappings are not constant. A ...

Openness as infrastructure

The advent of open access to peer reviewed scholarly literature in the biomedical sciences creates the opening to examine scholarship in general, and chemistry in particular, to see where and how novel forms of network technology can accelerate the scientific method. This paper examines broad trends in information access and openness with an eye towards their applications in chemistry.