Ž. We introduce the class S-KKM X, Y, Z consisting of all multifunctions T : Y ª 2 Z that have the S-KKM property and establish a fixed-point theorem for Ž . compact and closed T in S-KKM X, Y, Z that generalizes a large number of classical fixed-point theorems. We also deduce some KKM-type theorems with application to the generalizations of the Ky Fan matching theorem and the Fan᎐Browder fixed-point theorem. ᮊ 1999 Academic Press
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