Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

On relatively contractive relations in pairs of generalized uniform spaces.

Víctor M. Onieva AleixandreJavier Ruiz Fernández de Pinedo — 1982

Revista Matemática Hispanoamericana

J. C. Mathews and D. W. Curtis, [4], have introduced some structures which generalize structures of uniform types to the product of two sets, and they obtain a generalized version of Banach's contraction mapping theorem. In this note we prove that these structures are obtained from the usual analogues by means of a particular bijection; hence we do not have a meaningful generalization. For example, this bijection provides, from a result by A. S. Davies, [1], an analogue of Banach's well-known contraction...

Page 1

Download Results (CSV)