Bianchi, Monica; Pini, Rita Sensitivity for parametric vector equilibria. (English) Zbl 1149.90156 Optimization 55, No. 3, 221-230 (2006). The authors consider a parametric vector equilibrium problem in topological vector spaces, or in metric spaces. They study the upper stability of the map of the solutions \(S=S(\lambda)\), providing results in the peculiar framework of generalized monotone functions. In the particular case of a single valued solution map, they provide conditions for the Hölder regularity of \(S\) in both cases when \(K\) is fixed and also when it depends on a parameter. Reviewer: Jeon Sheok Ume (Changwon) Cited in 56 Documents MSC: 90C31 Sensitivity, stability, parametric optimization 47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics 54C60 Set-valued maps in general topology 90C29 Multi-objective and goal programming 90C47 Minimax problems in mathematical programming 91B50 General equilibrium theory Keywords:parametric vector equilibrium problems; upper hemicontinuity of the solutions; vector generalized monotonicity PDFBibTeX XMLCite \textit{M. Bianchi} and \textit{R. Pini}, Optimization 55, No. 3, 221--230 (2006; Zbl 1149.90156) Full Text: DOI References: [1] DOI: 10.1016/j.jmaa.2004.03.014 · Zbl 1048.49004 · doi:10.1016/j.jmaa.2004.03.014 [2] DOI: 10.1023/A:1015366419163 · Zbl 1012.90055 · doi:10.1023/A:1015366419163 [3] Aubin J-P, Differential Inclusions (1984) · doi:10.1007/978-3-642-69512-4 [4] DOI: 10.1023/A:1022603406244 · Zbl 0878.49007 · doi:10.1023/A:1022603406244 [5] DOI: 10.1016/S0167-6377(03)00051-8 · Zbl 1112.90082 · doi:10.1016/S0167-6377(03)00051-8 [6] DOI: 10.1137/1015073 · Zbl 0256.90042 · doi:10.1137/1015073 [7] DOI: 10.1023/A:1014830925232 · Zbl 1003.47049 · doi:10.1023/A:1014830925232 [8] Luc DT, Theory of Vector Optimization (1989) · doi:10.1007/978-3-642-50280-4 [9] DOI: 10.1080/02331938408842947 · Zbl 0553.49007 · doi:10.1080/02331938408842947 [10] Oettli W, Acta Mathematica Vietnamica 22 pp 213– (1997) [11] DOI: 10.1007/BF01215992 · Zbl 0821.49011 · doi:10.1007/BF01215992 [12] DOI: 10.1006/jmaa.1997.5607 · Zbl 0906.49002 · doi:10.1006/jmaa.1997.5607 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.