In linear programming problems an extreme point is also called vertex or corner point of S. Extremum plural Extrema in calculus any point at which the value of a function is largest a maximum or smallest a minimum. An extreme value or extremum plural extrema is the smallest minimum or largest maximum value of a function either in an arbitrarily small neighborhood of a point in the functions domain in which case it is called a relative or local extremum or on a given set contained in the domain perhaps all of it in which case it is called an absolute or global extremum the latter term is common when the set is all of the domain.
An absolute extremum or global extremum of a function in a given interval is the point at which a maximum or minimum value of the function is obtained.
It has no size only position. Extreme point - the point located farthest from the middle of something. The local minima and maxima can be found by solving fx 0. A minimum or a maximum is called an extreme point.