Well-posedness for general parametric quasi-variational inclusion problems. (2nd January 2017)

• Record Type: Journal Article
• Authors: Wangkeeree, Rabian; Anh, Lam Quoc; Boonman, Panatda
• Is Part Of: Optimization. Volume 66:Number 1(2017)
• Page Start: 93
• Page End: 111
• Publication Date: 2017-01-02
• Subjects: General parametric quasi-variational inclusion problem -- well-posedness -- approximating solution sequence -- metric characterization; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2016.1253085
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: In this paper, we aim to suggest the new concept of well-posedness for the general parametric quasi-variational inclusion problems (QVIP). The corresponding concepts of well-posedness in the generalized sense are also introduced and investigated for QVIP. Some metric characterizations of well-posedness for QVIP are given. We prove that under suitable conditions, the well-posedness is equivalent to the existence of uniqueness of solutions. As applications, we obtain immediately some results of well-posedness for the parametric quasi-variational inclusion problems, parametric vector quasi-equilibrium problems and parametric quasi-equilibrium problems.