Abstract. A categorical version of the famous theorem of Stone and Weierstrass is formulated and studied in detail. Several applications and examples are given.
Neural Networks (NN), Type-1 Fuzzy Logic Systems (T1FLS) and Interval Type-2 Fuzzy Logic Systems (IT2FLS) are universal approximators, they can approximate any non-linear function....
Juan R. Castro, Oscar Castillo, Patricia Melin, An...
These lecture notes cover several topics such as Topological Space, Metric Space, Convex Sets, Correspondences, Maximum Theorem, KKM Theorem, Existence of Maximal Element, Selectio...
In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem for a variational inclusion problem, a KKM theorem wi...
—We present a generalized sampling theorem allowing reconstructions in arbitrary bases. The classical Shannon Sampling Theorem is a special case of our theorem. Specifically, we...