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- Title
Multivalued Homotopy on an Ordered Set, Fixed and Coincidence Points of Mappings, and Applications in Game Theory.
- Authors
Podoprikhin, D. A.; Fomenko, T. N.
- Abstract
The article develops results of the authors' previous papers on the topic. The notion of the homotopy of a multivalued mapping of an ordered set is introduced. We study the problem as to whether the existence of a fixed point (or a coincidence point) is preserved under multivalued homotopies of a multivalued mapping (or a pair of multivalued mappings). An application of some of the authors' previous results on fixed points in game theory is considered.
- Subjects
ORDERED sets; SET-valued maps; GAME theory; FIXED point theory; COINCIDENCE; THEORY-practice relationship
- Publication
Mathematical Notes, 2019, Vol 106, Issue 3/4, p591
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S000143461909027X