Multi-valued non-self-mappings on convex metric spaces

In this paper we prove common fixed-point theorems for a pair of multi-valued non-self-mappings in metrically convex metric spaces. Our results generalize and extend both theorems of Itoh, (Comment. Math. Univ. Carolin. 18 (1977) 247) and Khan, (Pacific J. Math. 95 (1981) 337), the theorem of Assad, (Boll. Un. Math. Ital. 4 (1973) 1), the theorem of Rhoades, (Comment. Math. Univ. Carolin. 37 (1996) 401) and the main theorem of Assad and Kirk, (Pacific J. Math. 43 (1972) 535).