Convergence of minima in convergence spaces 1
Szymon Dolecki · Optimization · 1986
Sufficient and necessary conditions for the persistence and the adherence of minima in general convergence spaces are provided and specialized in the cases of topological and sequential convergences, as well as in the case of local compactifications. In terms of multifunctions, the inquired stability properties of minima amount to lower semicontinuity (persistence) and to graph-closedness (adherence).