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The Demyanov metric and some other metrics in the family of convex sets

Tadeusz Rzeżuchowski (2012)

Open Mathematics

We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.

The dimension of products of complete separable metric spaces

John Kulesza (1990)

Fundamenta Mathematicae

The Kannan's fixed point theorem in a cone rectangular metric space.

Jleli, Mohamed, Samet, Bessem (2009)

The Journal of Nonlinear Sciences and its Applications

The LCC-topology on the space of continuous functions

Jaromír Šiška (1982)

Commentationes Mathematicae Universitatis Carolinae

The number of metrizable spaces

Richard Hodel (1983)

Fundamenta Mathematicae

Topological completeness of first countable Hausdorff spaces II

H. Wicke, J. Worrell (1976)

Fundamenta Mathematicae

Topological completeness of first countable Hausdorff spaces I

H. Wicke, J. Worrell (1972)

Fundamenta Mathematicae

True preimages of compact or separable sets for functional analysts

Lech Drewnowski (2020)

Commentationes Mathematicae Universitatis Carolinae

We discuss various results on the existence of ‘true’ preimages under continuous open maps between $F$ -spaces, $F$ -lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.

Two Results on Jachymski-Schröder-Stein Contractions

Simeon Reich, Alexander J. Zaslavski (2008)

Bulletin of the Polish Academy of Sciences. Mathematics

We establish two fixed point theorems for certain mappings of contractive type.

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