Pokrovskij, A. V.; Rachinskij, D. I. Nonexistence of weakly improving monotone shifts in semiordered sets with nontrivial topological structure. (English. Russian original) Zbl 0791.47045 Autom. Remote Control 53, No. 12, Pt. 2, 1957-1959 (1992); translation from Avtom. Telemekh. 1992, No. 12, 155-158 (1992). Summary: We discuss the existence of transformations that simultaneously improve the values of performance criteria from a given set. MSC: 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces 06F30 Ordered topological structures (aspects of ordered structures) Keywords:weakly improving monotone shifts; \(\varepsilon\)-improving shift PDF BibTeX XML Cite \textit{A. V. Pokrovskij} and \textit{D. I. Rachinskij}, Autom. Remote Control 53, No. 12, Part 2, 1 (1992; Zbl 0791.47045); translation from Avtom. Telemekh. 1992, No. 12, 155--158 (1992)