Fixed points of convex-valued generalized upper hemicontinuous maps, revisited (Q1873621)

In previous papers [J. Korean Math. Soc. 29, 191-208 (1992; Zbl 0758.47048); ibid. 30, 413-431 (1993; Zbl 0797.47029)], the author studied fixed point theorems concerned with convex-valued generalized upper hemicontinuous maps whose domains and ranges may have different topologies. In the present paper the author obtains some generalized version of the theorems mentioned above and shows that this theorem contains many known (old and recent) results.