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

Authors

  • San-hua Wang
    • Department of MathematicsNanchang University
    • Department of MathematicsSichuan University
  • Donal O’Regan
    • Department of MathematicsNational University of Ireland
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