Arhangel’skii, A.V. and Fedorchuck, V.V. (1990) The Basic Concepts and Constructions of General Topology. In: Arhangel’skii, A.V. and Pontrjagin, L.S., Eds., General Topology I, Encyclopedia of the Mathematical Sciences, Springer, Berlin, 1-90.
https://doi.org/10.1007/978-3-642-61265-7_1

has been cited by the following article:

• TITLE: New Necessary Conditions for a Fixed-Point of Maps in Non-Metric Spaces

  AUTHORS: Ivan Raykov

  KEYWORDS: Topological Space, Compact Metric Space, Fixed Point, Contraction Map, Non-Metric Space

  JOURNAL NAME: Advances in Pure Mathematics, Vol.12 No.10, October 18, 2022

  ABSTRACT: Our purpose is to introduce new necessary conditions for a fixed point of maps on non-metric spaces. We use a contraction map on a metric topological space and a lately published definition of limit of a function between the metric topological space and the non-metric topological space. Then we show that we can create a function h on the non-metric space Y, h :Y →Y and present necessary conditions for a fixed point of this map on this map on Y. Therefore, this gives an opportunity to take a best conclusion in some sense, when non-metrizable matter is under consideration.