, Volume 25, Issue 5, pp 785-794
Date: 25 Apr 2009

Monotonicity and best approximation in Banach lattices

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Abstract

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.

Supported by National Natural Science Foundation of China, Grant (10471032)