Abstract
This paper deals with stability properties of the feasible set of linear inequality systems having a finite number of variables and an arbitrary number of constraints. Several types of perturbations preserving consistency are considered, affecting respectively, all of the data, the left-hand side data, or the right-hand side coefficients.
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This research was partially supported by the MICINN grant MTM2011-29064-C03-01 and -02 (Spain). The second and third authors are Partner Investigators in the Australian Research Council Discovery Projects DP120100467 and DP110102011, respectively. The research of the fourth author was partially supported by the MIUR project “Variational and Topological Methods in the Study of Nonlinear Phenomena” (2009).
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Daniilidis, A., Goberna, M.A., López, M.A. et al. Lower Semicontinuity of the Feasible Set Mapping of Linear Systems Relative to Their Domains. Set-Valued Var. Anal 21, 67–92 (2013). https://doi.org/10.1007/s11228-012-0221-4
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DOI: https://doi.org/10.1007/s11228-012-0221-4