Abstract
In this paper we present some extensions of the fixed-point theorems for multivalued inward mappings of Browder [3], Ky Fan [IO], Halpern [7], and others. In particular, our results will include the earlier fixed-point theorems of Ky Fan [9], Glicksberg [5], and Bohnenblust and Karlin [l]. In his thesis [6], Halpern initiated the study of fixed-point theorems for continuous single-valued mappings T: D C X--+ X which are inward, in the sense that (i) for each x E D,
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