We give some generalizations of the classica Knaster-Kuratowski-Mazurkiewicz theorem in the abstract setting of H-spaces, a wide generalization of the topological linear spaces, in which the convexity is replaced by purely topological notions based on contractibility. As applications we give an extension of Ky Fan minimax principle.
Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
BARDARO, Carlo;CEPPITELLI, Rita
1988
Abstract
We give some generalizations of the classica Knaster-Kuratowski-Mazurkiewicz theorem in the abstract setting of H-spaces, a wide generalization of the topological linear spaces, in which the convexity is replaced by purely topological notions based on contractibility. As applications we give an extension of Ky Fan minimax principle.File in questo prodotto:
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