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