caa a22 4500 465775152 CHVBK 20180323111939.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02055192 doi (NATIONALLICENCE)springer-10.1007/BF02055192 Tanino Tetsuzo Department of Information Technology, Faculty of Engineering, Okayama University, Tsushima, 700, Okayama, Japan aut Stability and sensitivity analysis in multiobjective nonlinear programming [Elektronische Daten] [Tetsuzo Tanino] In this paper some results on stability and sensitivity analysis in multiobjective nonlinear programming are surveyed. Given a family of parametrized multiobjective programming problems, the perturbation map is defined as the set-valued map which associates to each parameter value the set of minimal points of the perturbed feasible set with respect to an ordering convex cone. The behavior of the perturbation map is analyzed both qualitatively and quantitatively. First, some sufficient conditions which guarantee the upper and lower semicontinuity of the perturbation map are provided. The contingent derivatives of the perturbation map are also studied. Moreover, it is shown that the results can be refined in the convex case. J.C. Baltzer A.G. Scientific Publishing Company, 1990 Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 27/1(1990-12-01), 97-114 0254-5330 27:1<97 1990 27 10479 https://doi.org/10.1007/BF02055192 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02055192 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tanino Tetsuzo Department of Information Technology, Faculty of Engineering, Okayama University, Tsushima, 700, Okayama, Japan aut NATIONALLICENCE 773 0- Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 27/1(1990-12-01), 97-114 0254-5330 27:1<97 1990 27 10479 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer