Solomon Lefschetz was born on 1884-09-03.

Solomon Lefschetz died on 1972-10-05.

In order to use Krasnoselskii's Fixed Point Theorem to prove the existence of a fixed point for an operator in a Banach space, you need to show that the operator is a contraction mapping on a closed subset of the Banach space. This means demonstrating that the operator satisfies the contraction mapping property, which implies the existence of a unique fixed point according to the theorem.

what is corner point theorem

Biconditional Statement for:

Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment.

Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.