Abstract: By applying an existence theorem of maximal elements of set-valued mappings in FC-spaces proposed by the author, some new existence theorems of solutions for systems of generalized quasi-variational inclusion (disclusion) problems are proved in FC-spaces without convexity structures. These results improve and generalize some results in recent publications from closed convex subsets of topological vector spaces to FC-spaces under weaker conditions.

Key words: maximal element, system of generalized quasi-variational inclusion (disclusion)problems, partiallydiagonallyquasi-convex, partiallydiagonally quasi-concave, FC-space