Construction of ball spaces and the notion of continuity

DOI10.53733/157zbMath1475.54001arXiv1810.09275OpenAlexW3189454560MaRDI QIDQ3380325

Franz-Viktor Kuhlmann, René Bartsch, Katarzyna Kuhlmann

Publication date: 28 September 2021

Published in: New Zealand Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09275

zbMATH Keywords

coproductscontinuityfixed point theoremsproductsquotient spacesball spaces

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Topological spaces and generalizations (closure spaces, etc.) (54A05) Other classical set theory (including functions, relations, and set algebra) (03E20) Ordered fields (12J15) Categories of sets, characterizations (18B05)

Related Items (1)

Applications of ball spaces theory: fixed point theorems in semimetric spaces and ball convergence

Cites Work

• Unnamed Item
• Correction to ``A common generalization of metric, ultrametric and topological fixed point theorems
• Symmetrically complete ordered sets abelian groups and fields.
• The common point theorem for ultrametric spaces
• Generalized ultrametric spaces. I
• The Caristi-Kirk fixed point theorem from the point of view of ball spaces
• Quite complete real closed fields
• Chain intersection closures
• Maps on Ultrametric Spaces, Hensel's Lemma, and Differential Equations Over Valued Fields
• Fixed point theorems for spaces with a transitive relation
• Coincidence point theorems for ball spaces and their applications
• Fixed point and attractor theorems for ultrametric spaces

This page was built for publication: Construction of ball spaces and the notion of continuity