Inclusion and Intersection Theorems with Applications in Equilibrium Theory in G-convex Spaces
نویسندگان
چکیده
In this paper we obtain a very general theorem of ρ-compatibility for three multivalued mappings, one of them from the class B. More exactly, we show that given a G-convex space Y , two topological spaces X and Z, a (binary) relation ρ on 2Z and three mappings P : X ( Z, Q : Y ( Z and T ∈ B(Y, X) satisfying a set of conditions we can find (x̃, ỹ) ∈ X×Y such that x̃ ∈ T (ỹ) and P (x̃)ρ Q(ỹ). Two particular cases of this general result will be then used to establish existence theorems for the solutions of some general equilibrium problems.
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