Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843974 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 14 Pages |
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 HH-convex hull in HH-spaces and GG-convex hull in GG-convex spaces as special cases. On this basis, new classes of ℒcℒc-correspondences and ℒcℒc-majorized correspondences without open lower sections are introduced in FC -spaces. Some existence theorems of maximal elements for ℒcℒc-correspondences and ℒcℒc-majorized correspondences are proved in FC -spaces. As applications, some equilibrium existence theorems for qualitative games and generalized games with infinite set of players and ℒcℒc-majorized correspondences are established in FC-spaces. These results unify, improve and generalize many corresponding results in recent literature.