Path connectedness of the efficient solution set for generalized vector quasi-equilibrium problems. (English) Zbl 1489.90170
Summary: In this paper, the efficient solution set for generalized vector quasi-equilibrium problems is investigated. By means of the linear scalarization method, we establish the path connectedness of the efficient solution set for generalized vector quasi-equilibrium problems under some suitable conditions.
MSC:
| 90C29 | Multi-objective and goal programming |
| 90C31 | Sensitivity, stability, parametric optimization |
| 49J40 | Variational inequalities |
Keywords:
generalized vector quasi-equilibrium problem; efficient solutions; path connectedness; linear scalarizationReferences:
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