Stability in the aproximation of linear semi-infinite inequality systems by finite systems

• Autores: María Josefa Cánovas Cánovas
• Localización: XXVI Congreso Nacional de Estadística e Investigación Operativa: Úbeda, 6-9 de noviembre de 2001, 2001, ISBN 84-8439-080-2
• Idioma: inglés
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• Resumen

  • We consider a parametric family of linear inequality systems, in the Euclidean space, with a same fixed index set T, and with the parameter running over a separable metric space. In this context, T is assumed to be an arbitrary infinite set (with no topological structure). In the paper the possibility of solving a nominal system by means of sequences of finite subsystems associated to proximal parameters is analyzed by considering a double parameter: the original one and the own finite subset of indices. The role played by the lower semicontinuity (lsc) of the feasible set mapping along this process is also studied.