A fixed point theorem for a class of star-shaped sets in c 0
- A subset K of c 0 is coordinatewise star-shaped (c.s.s.) if there exists a center point x ∈K such that for y ∈K and z ∈c 0, if z is coordinatewise between x and y then z ∈K. We prove that a weakly compact c.s.s. subset of c 0 has the fixed point property for nonexpansive mappings and that a fixed point for such a mapping can be obtained in a constructive manner. © 1981 The Weizmann Science Press of Israel.
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