Some Results for the Family KKM(X,Y)‎ and the Φ-Mapping in FC-Spaces

الملخص EN

We first establish a fixed point theorem for a k-set contraction map on the family KKM(X,X), which does not need to be a compact map.

Next, we present the KKM type theorems, matching theorems, coincidence theorems, and minimax theorems on the family KKM(X,Y) and the Φ-mapping in FC-spaces.

Our results improve and generalize some recent results.