Bücher der Reihe Atlantis Studies In Mathematics

For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. The present monograph is an attempt to organize recent progress related to the above inequalities, which we hope will widen the scope of their applications.

The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice.

The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces".