Fixed point theorems of the mappings of partially ordered sets

  • Alexander Abian


In this paper without using any of the equivalent statements of the Axiom of Choice we give a short proof of the Fixed Point Theorems 1 and 2, and, via a simple derivation of Zorn’s Lemma from the Axiom of Choice (see Theorem 3) we prove Fixed Point Theorem 4.


Point Theorem Equivalent Statement Maximal Element Distinct Element Initial Segment 
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Copyright information

© Springer 1971

Authors and Affiliations

  • Alexander Abian
    • 1
  1. 1.AmesU.S.A.

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