Birkhoff-Kellogg theorems on invariant directions for multimaps.

We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.

A fixed point theorem in a Hausdorff topological vector space

Won Kyu Kim (1995)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we will give a new fixed point theorem for lower semicontinuous multimaps in a Hausdorff topological vector space.

Fixed point theorems for the class $Q (X, Y)$ .

Chen, Chi-Ming, Yen, Chi-Lin (2005)

International Journal of Mathematics and Mathematical Sciences

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