科研之友
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摘要
Suppose that {T-a : a is an element of G} is a group of uniformly L-Lipschitzian mappings with bounded orbits {T(a)x : a is an element of G} acting on a hyperconvex metric space M. We show that if L < root 2, then the set of common fixed points FixG is a nonempty Holder continuous retract of M. As a consequence, it follows that all surjective isometries acting on a bounded hyperconvex space have a common fixed point. A fixed point theorem for L-Lipschitzian involutions and some generalizations to the case of lambda-hyperconvex spaces are also given.
- 出版日期2016-9
