Abstract
We extend a result of Roth dealing with fixed points of lattice mappings which satisfy certain constraints.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Conway, J. H. On Numbers and Games. Academic Press, New York, 1976.
Roth, Alvin E. “A Lattice Fixed-Point Theorem With Constraints,”Bulletin of the American Mathematical Society, Vol. 81, No. 1, 1975.
Roth, Alvin E. “Subsolutions and the Supercore of Cooperative Games,”Mathematics of Operations Research, Vol. 1, No. 1, 1976.
Roth, Alvin E. “Two Person Games on Graphs,” Mimeo, 1975; alsoJournal of Combinatorial Theory, Series B, Vol. 24, No. 2, 1978.
Roth, Alvin E. “Asymmetric Games on Graphs”,Naval Research Logistics Quarterly, Vol. 25, No. 2, 1978.
Tarski, Alfred. “A Lattice-Theoretical Fixpoint Theorem and Its Applications”,Pacific Journal of Mathematics, Vol. 5, No. 2, 1955.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Blair, C., Roth, A.E. An extension and simple proof of a constrained lattice fixed point theorem. Algebra Universalis 9, 131–132 (1979). https://doi.org/10.1007/BF02488022
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02488022