A Generalized Amman’s Fixed Point Theorem and Its Application to Nash Equlibrium

  • Published 2005
In this paper, we first give a generalization of Amann’s fixed point theorem: if (X,≤) is a nonempty partially ordered set with the property that every nonempty chain has a supremum and F : X → 2X is a monotone setvalued map and there is a ∈ X such that for all b ∈ F (a) we have a ≤ b, then F has a least fixed point in the subset {x ∈ X : a ≤ x}. By using… (More)