Abstract
Let $(\cal Z \, , \, C)$ be an ordered Hausdorff real topological vector space. Some conditions for assuring that a nonempty set $K \subset {\cal Z}$ has a nonempty superior or inferior are established. Ordering-conically compact ordered Hausdorff real topological vector spaces are introduced so that in such a space every nonempty bounded below (respectively, bounded above) set has a nonempty inferior (respectively, superior).
Citation
Y. Chiang. "VECTOR SUPERIOR AND INFERIOR." Taiwanese J. Math. 8 (3) 477 - 487, 2004. https://doi.org/10.11650/twjm/1500407667
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