A fixed point theorem for multivalued maps in hyperconvex spaces

摘要

Bugajewski [Math. Comput. Modell. 32 (2000) 1457] extend the Baillion fixed point theorem from [Contemporary Math. Am. Math. Soc. 72 (1988) 11]. In this paper, we proved a version of Bugajewski's theorem for multivalued maps defined on a bounded hyperconvex subset of a normed space.