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Well-posedness for vector quasi-equilibrium problems with applications. (English) Zbl 1192.49028

The aim of this paper is to investigate the well-posedness for vector quasi-equilibrium problems. Because of various notions of well-posedness for minimization problems the authors introduce the concept of well-posedness for the vector quasi-equilibrium problems. They obtain some necessary and sufficient conditions for the introduced type of well-posedness in Banach spaces. As applications of their results the authors investigate vector quasi-variational inequality problems and vector quasi-optimization problems.

MSC:

49K40 Sensitivity, stability, well-posedness
90C31 Sensitivity, stability, parametric optimization
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