Some common fixed point theorems for mappings and multi-valued mappings (Q1381604)

Let \((X,d)\) be a complete metrically convex metric space, \(K\subset X\) a nonempty closed subset of \(X\), \(F,G:K\to CB(X)\), \(S,T:K\to X\). The authors give some metric conditions which imply that there exists \(z\in K\) such that \(z= S(z)= T(z)\in F(z)\cap G(z)\).