Internal completeness of cones (Q1189690)

The author generalizes results on monotone convergence [see \textit{I. A.Krasnosel'skij} et al., Approximate Solutions of Operator Equations, Groningen (1969; Zbl 0194.179)] and on completeness of cones with respect to certain pseudo-metrics [see \textit{M. A.Krasnosel'skij}, Positive Solutions of Operator Equations (Russian) Moscow, Fizmatgiz (1962; Zbl 0121.106)] from the case of closed convex cones containing no affine line in finite-dimensional spaces to the case of arbitrary convex cones containing no affine lines in finite-dimensional spaces.