Geodesic
Fixed Point Theorems for Point-to-Set Mappings
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 581-586

Voir la notice de l'article provenant de la source Cambridge University Press

Let (X, d) be a metric space. Let Xc be the family of all non-empty closed subsets of X endowed with the Hausdorff metric D induced by d. Let f be a non-expansive mapping of X into Xc (D(f(x), f(y))≤d(x, y) for all x, y in X). Some fixed point theorems are obtained by imposing certain conditions on f and X. 
Wong, Chi Song. Fixed Point Theorems for Point-to-Set Mappings. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 581-586. doi: 10.4153/CMB-1974-104-2
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