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The new concept of FC-hull for a nonempty subset in FC-spaces is introduced, which includes the convex hull in topological vector spaces, the H-convex hull in H-spaces and G-convex hull in G-convex spaces as special cases. On this basis, new classes of ℒc-correspondences and ℒc-majorized correspondences without open lower sections are introduced in FC-spaces. Some existence theorems of maximal elements...
In this paper, we first introduce generalized Lθ,Fc-correspondence and generalized Lθ,Fc-majorized mappings without open lower sections in the nonconvexity setting of topological space. Some existence theorems of maximal elements for generalized Lθ,Fc-correspondence and generalized Lθ,Fc-majorized mappings are obtained in topological spaces without convexity. As applications, we establish new equilibrium...
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