Hudzik and Kurc discussed some best approximation problems in Banach lattices by means of monotonicities. This paper deals with more general best approximation problems in Banach lattices. Existence, uniqueness, stability and continuity for such best approximation problems are discussed.
机构:Russian Academy of Sciences and the Government of the Republic of North Ossetia-Alania,Southern Mathematical Institute, Vladikavkaz Scientific Center
机构:
Russian Acad Sci, Southern Math Inst, Vladikavkaz Res Ctr, Vladikavkaz, Russia
Khetagurov North Ossetian State Univ, Vladikavkaz, RussiaRussian Acad Sci, Southern Math Inst, Vladikavkaz Res Ctr, Vladikavkaz, Russia
机构:Russian Academy of Sciences and the Government of the Republic of North Ossetia-Alania,Southern Mathematical Institute, Vladikavkaz Scientific Center
机构:
Russian Acad Sci, Southern Math Inst, Vladikavkaz Res Ctr, Vladikavkaz, Russia
Khetagurov North Ossetian State Univ, Vladikavkaz, RussiaRussian Acad Sci, Southern Math Inst, Vladikavkaz Res Ctr, Vladikavkaz, Russia