Chen, Shu Tao et al., Monotonicity and best approximation in Banach lattices, Acta mathematica Sinica. English series (Print) , 25(5), 2009, pp. 785-794
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.