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

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  • San-hua Wang
  • Nan-jing Huang
  • Donal O’Regan

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. Copyright Springer Science+Business Media, LLC. 2013

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  • San-hua Wang & Nan-jing Huang & Donal O’Regan, 2013. "Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints," Journal of Global Optimization, Springer, vol. 55(1), pages 189-208, January.
  • Handle: RePEc:spr:jglopt:v:55:y:2013:i:1:p:189-208
    DOI: 10.1007/s10898-012-9980-6
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    2. M. Darabi & J. Zafarani, 2015. "Tykhonov Well-Posedness for Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 458-479, May.

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