... b1.1is a continuous function satisfying the following properties:afx, y is nondecreasing in x ∈ a, b for each y ∈ a, b, and fx, y is nonincreasing in y ∈ a, b for each x ∈ a, ... beenincluded in 14 and applied successfully to some boundary value problems in ordinarydifferential equations.Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2009, Article ... F : X × X → X be a map such that Fx, y is nondecreasing in x for all y ∈ X,and nonincreasing in y for all x ∈ X. Suppose that the following conditions hold.i There exists k ∈ 0, 1 withdFx,...