extreme point
Definition.
Let be a convex subset of a vector space . A point iscalled an extreme point if it is not an interior point of any line segment
in . That is is extreme if and only if whenever , , , implies either or .
For example the set is a convex set and and are the extreme points.
References
- 1 H. L. Royden. . Prentice-Hall, Englewood Cliffs, New Jersey, 1988