There is an equivalent norm on that has the fixed point property

A Fixed Point Theorem for Mappings which do not Increase Distances

W. A. Kirk · American Mathematical Monthly · 1965 · 1K citations

Natural Sciences, Computer Science, Mathematics +10

A fixed point free nonexpansive map

Dale E. Alspach · Proceedings of the American Mathematical Society · 1981 · 191 citations · Full text

Natural Sciences, Mathematics, Computational Geometry +7

Every nonreflexive subspace of 𝐿₁[0,1] fails the fixed point property

Patrick N. Dowling, Chris Lennard · Proceedings of the American Mathematical Society · 1997 · 59 citations · Full text

Humanities, Literature, Contemporary Literature +9

Reflexivity and the Fixed-Point Property for Nonexpansive Maps

Patrick N. Dowling, Chris Lennard, B. Turett · Journal of Mathematical Analysis and Applications · 1996 · 43 citations

Natural Sciences, Property Law, Topology +8

Weak compactness is equivalent to the fixed point property in 𝑐₀

Patrick N. Dowling, Chris Lennard, B. Turett · Proceedings of the American Mathematical Society · 2004 · 34 citations · Full text

Natural Sciences, Immunology, Continuity Of Care +4