Stochastic user equilibrium assignment with elastic demand

It is well-known that, in deterministic user equilibrium assignment, it is straightforward to allow for elastic demand. The research described in this paper sets out to show that the same is true for stochastic user equilibrium assignment with elastic demand (SUEED). It presents a new objective function for SUEED, and a simple solution algorithm that can be implemented by only a minor modification to existing assignment software. A numerical example illustrates the working of the algorith

Generalization of the Banach contraction principle

We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle. An example is provided to illustrate our result.Comment: 6 page

Lighting up learning: mathematics becoming less of a \u27killer subject\u27 in KwaZulu-Natal, South Africa

This paper reports the findings of an evaluative study of an initiative, in its sixth year of implementation, enhancing the learning and teaching of mathematics in 20 disadvantaged secondary schools in KwaZulu-Natal (KZN), South Africa, twenty years after democracy. Findings highlight the importance of initial and ongoing professional development for under-qualified teachers. Support and strategies that have enhanced the achievement in mathematics of learners in these still under-resourced schools, are described