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Arhangel’skii, A.V. and Ponomarev, V.I. (1984) Fundamentals of General Topology: Problems and Exercises. Mathematics and Its Applications, Vol. 13, Springer, Dordrecht, Boston.

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.