Extended well-posedness of quasiconvex vector optimization problems. (English) Zbl 1169.90020

Authors’ abstract: The notion of extended-well-posedness has been introduced by Zolezzi for scalar minimization problems and has been further generalized to vector minimization problems by Huang. In this paper, we study the extended well-posedness properties of vector minimization problems in which the objective function is \(C\)-quasiconvex. To achieve this task, we first study some stability properties of such problems.


90C29 Multi-objective and goal programming
90C25 Convex programming
Full Text: DOI


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