Fixed point theorems for set-valued contraction type maps in metric spaces.

Amini-Harandi, A.; O'Regan, D.

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Fixed point theorems for contractive mappings in metric spaces

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A fixed point theorem for non-self multi-maps in metric spaces

Bapurao Chandra Dhage (1999)

Commentationes Mathematicae Universitatis Carolinae

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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].