Α-Well-Posedness for Quasivariational Inequality Problems. (20th May 2012)

• Record Type: Journal Article
• Authors: Peng, Jian Wen; Tang, Jing
• Other Names: Reich Simeon Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-05-20
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/157532
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We introduce and study the concepts of α -well-posedness and L- α -well-posedness for quasivariational inequality problems having a unique solution and the concepts of α -well-posedness in the generalized sense and L- α -well-posedness in the generalized sense for quasivariational inequality problems having more than one solution. We present some necessary and/or sufficient conditions for the various kinds of well-posedness to occur. Our results generalize and strengthen previously known results for quasivariational inequality problems.