Fixed points and partial orders
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- by Arne Brøndsted
- Proc. Amer. Math. Soc. 60 (1976), 365-366
- DOI: https://doi.org/10.1090/S0002-9939-1976-0417867-X
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Abstract:
It is observed that certain fixed point theorems may be derived from theorems on the existence of maximal elements in partially ordered sets.References
- Arne Brøndsted, On a lemma of Bishop and Phelps, Pacific J. Math. 55 (1974), 335–341. MR 380343
- James Caristi and William A. Kirk, Geometric fixed point theory and inwardness conditions, The geometry of metric and linear spaces (Proc. Conf., Michigan State Univ., East Lansing, Mich., 1974) Lecture Notes in Math., Vol. 490, Springer, Berlin, 1975, pp. 74–83. MR 0399968
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 365-366
- MSC: Primary 47H10; Secondary 06A10, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1976-0417867-X
- MathSciNet review: 0417867