We use methods from nonstandard analysis to unify and extend results from the theory of
asymptotic fixed points on metric spaces. Among the topics we consider are Kirk's …

This text presents an up-to-date overview of optimization and control theory, including
existence theory, modelling, approximation and numerical methods. It also provides a self …

Publisher Summary This chapter provides an overview of function space topologies. If Y and
Z are two fixed topological spaces, C (Y, Z) denotes the set of all continuous maps from Y to …

It is well known that (see, for example,[H. Render, Nonstandard topology on function spaces
with applications to hyperspaces, Trans. Amer. Math. Soc. 336 (1)(1993) 101–119; M …

In the sixties and at the beginning of the seventies by H. Poppe was constructed a unified
approach to compactness criteria in topological and uniform functionspaces, especially in …

A rather general method of constructing T2-completions of a quasi-uniform space is given.
Using it we show that a sufficient condition for a quasi-uniform space to have a T2 …

It is well-known that descriptive set theory has many important applications to analysis, see
eg [9, 10]. In particular the notion of an analytic set, introduced in 1917 by M. Souslin, is of …

2 τ⊂ τ) берет начало в работах Аренса и Дугунджи [2; 3]. В [3] семейство T рассмотрено
как полная решетка (или полная структура, см., напр.,[4, c. 19]), т. е. с определенными …

This chapter gives a standard formulation of the property* f (ns* X)= ns* Y which leads to the
concept of so-called biquotient maps. Some properties of biquotient maps are proved by …

The set psns∗ X of all pseudonearstandard points and its relationship to topological
concepts will be systemically investigated. For example we obtain nonstandard …