KKM type theorems with boundary conditions

We consider generalizations of Gale’s colored KKM lemma and Shapley’s KKMS theorem. It is shown that spaces and covers can be much more general and the boundary KKM rules can be substituted by more weaker boundary assumptions.

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Bibliographic Details
Published in:Journal of fixed point theory and applications 2017-09, Vol.19 (3), p.2037-2049
Main Author: Musin, Oleg R.
Format: Article
Language:English
Subjects:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Theorems
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Summary:We consider generalizations of Gale’s colored KKM lemma and Shapley’s KKMS theorem. It is shown that spaces and covers can be much more general and the boundary KKM rules can be substituted by more weaker boundary assumptions.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-016-0388-7