Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations. (15th January 2012)

• Record Type: Journal Article
• Authors: Ceng, Lu-Chuan; Wong, Ngai-Ching; Yao, Jen-Chih
• Other Names: Fang Ya Ping Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-01-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/712306
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of variational-hemivariational inequalities with perturbations. We establish some metric characterizations for the well-posed strongly mixed variational-hemivariational inequality and give some conditions under which the strongly mixed variational-hemivariational inequality is strongly well-posed in the generalized sense. On the other hand, it is also proven that under some mild conditions there holds the equivalence between the well posedness for a strongly mixed variational-hemivariational inequality and the well-posedness for the corresponding inclusion problem.