On S-KKM Property and-Related Topics

We introduce the class S-KKM X, Y, Z.consisting of all multifunctions T: Yª2Z that have the S-KKM property and establish a fixed-point theorem for 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.