Isotone Cones in Banach Spaces and Applications to Best Approximations of Operators without Continuity Conditions
arXiv:1710.04963
Abstract
In this paper, we introduce the concept of isotone cones in Banach spaces. Then we apply the order monotonic property of the metric projection operator to prove the existence of best approximations for some operators without continuity conditions in partially ordered Banach spaces.
23 pages