Hölder Continuity of Solutions to Parametric Generalized Vector Quasiequilibrium Problems. (15th February 2012)

• Record Type: Journal Article
• Authors: Peng, Z. Y.
• Other Names: Staněk Svatoslav Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-02-15
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/236413
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : By using a linear scalarization method, we establish sufficient conditions for the Hölder continuity of the solution mappings to a parametric generalized vector quasiequilibrium problem with set-valued mappings. These results extend the recent ones in the recent literature, (e.g., Li et al. (2009), Li et al. (2011)). Furthermore, two examples are given to illustrate the obtained result.