Systems of generalized quasi-variational inclusion (disclusion) problems in FC-spaces
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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 wordsmaximal element system of generalized quasi-variational inclusion (disclusion) problems partially diagonallyquasi-convex partially diagonally quasi-concave FC-space
Chinese Library ClassificationO176.3 O177.92
2000 Mathematics Subject Classification49J27 49J40 49J53
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- Mordukhovich, B. S. Variational Analysis and Generalized Differentiation, Vols. I and II, Springer-Verlag, New York (2006)Google Scholar