Journal of Global Optimization

, Volume 55, Issue 1, pp 189–208

Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints

Article

DOI: 10.1007/s10898-012-9980-6

Cite this article as:
Wang, S., Huang, N. & O’Regan, D. J Glob Optim (2013) 55: 189. doi:10.1007/s10898-012-9980-6

Abstract

In this paper, well-posedness of generalized quasi-variational inclusion problems and of optimization problems with generalized quasi-variational inclusion problems as constraints is introduced and studied. Some metric characterizations of well-posedness for generalized quasi-variational inclusion problems and for optimization problems with generalized quasi-variational inclusion problems as constraints are given. The equivalence between the well-posedness of generalized quasi-variational inclusion problems and the existence of solutions of generalized quasi-variational inclusion problems is given under suitable conditions.

Keywords

Well-posednessMetric characterizationGeneralized quasi-variational inclusion problemOptimization problem with constraintApproximating solution sequence

Mathematics Subject Classification (2000)

49J2749J40

Copyright information

© Springer Science+Business Media, LLC. 2012

Authors and Affiliations

  1. 1.Department of MathematicsNanchang UniversityNanchangPeople’s Republic of China
  2. 2.Department of MathematicsSichuan UniversityChengduPeople’s Republic of China
  3. 3.Department of MathematicsNational University of IrelandGalwayIreland