Fixed point theorems for spaces with a transitive relation


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	Fixed point theorems for spaces with a transitive relation


	Fixed Point Theory, Volume 18, No. 2, 2017, 663-672, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.53 Authors: Katarzyna Kuhlmann and Franz-Viktor Kuhlmann Abstract: We present general fixed point theorems for spaces that are equipped with a transitive relation. We apply them to prove corresponding theorems for ultrametric spaces, topological spaces, complete lattices, and ordered abelian groups and fields. Key Words and Phrases: Fixed point theorem, fixed points on graphs, ultrametric spaces, topological spaces, complete lattices, ordered abelian groups and fields. 2010 Mathematics Subject Classification: 03E04, 54H25, 12J20, 47H10. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents