Semigroups of mappings with rigid Lipschitz constant
Enrique Llorens-Fuster · Proceedings of the American Mathematical Society · 2001
It is shown that two well-known uniformly fixed point free lipschitzian semigroups of mappings have minimal Lipschitz constant on the positive part of the unit ball of ℓ 2 \ell _2 . This implies that a question raised by T. Kuczumow has a negative answer.