Geodesic
A fixed point theorem for non-self multi-maps in metric spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 251-258.

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A fixed point theorem is proved for non-self multi-valued mappings in a metrically convex complete metric space satisfying a slightly stronger contraction condition than in Rhoades [3] and under a weaker boundary condition than in Itoh [2] and Rhoades [3].
Classification : 47H04, 47H10, 54C60, 54H25
Keywords: metrically convex metric space; multi-valued non-self map; fixed point 
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     title = {A fixed point theorem for non-self multi-maps in metric spaces},
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Dhage, B. C. A fixed point theorem for non-self multi-maps in metric spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 251-258. http://geodesic.mathdoc.fr/item/CMUC_1999__40_2_a5/