... 3.11. The conclusion in Theorem 3.7 remains valid if the conditions of commutativity and continuity of one of the mappings f, g are replaced by the condition (E.A) for the pair f, g.Proof. This ... ω1.Since ω fa ga is the unique point of coincidence of f and g,andf and g areweakly compatible, ω is the unique common fixed point of f and g by 4,Proposition1.12. The proof is similar ... the mappings f and g is continuous, and theysatisfy fX ⊂ gX.Thenf and g have a unique common fixed point in X.Using property E.A of the pair f, g instead of commutativity and continuity,...