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

San-hua Wang, Nan-jing Huang () and Donal O’Regan

Journal of Global Optimization, 2013, vol. 55, issue 1, 189-208

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

Keywords: Well-posedness; Metric characterization; Generalized quasi-variational inclusion problem; Optimization problem with constraint; Approximating solution sequence; 49J27; 49J40 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-012-9980-6

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