Continuity of solutions for parametric generalized quasi-variational relation problems
Department of Mathematics, Dong Thap University, 783 Pham Huu Lau Street, Ward 6, Cao Lanh City, Vietnam
Fixed Point Theory and Applications 2012, 2012:102 doi:10.1186/1687-1812-2012-102Published: 21 June 2012
In this article, we establish sufficient conditions for the solution sets of parametric generalized quasi-variational relation problems with the stability properties such as the upper semicontinuity, lower semi-continuity, the Hausdorff lower semicontinuity, continuity, Hausdorff continuity, and closedness. Our results improve recent existing ones in the literature.
Mathematics Subject Classification 2010: 90C31; 49J53; 49J40; 49J45.