Fixed Point Theorem
If 
is a continuous function 
For All 
, then has a Fixed Point in 
.This can be proven by noting that
Since
is continuous, the Intermediate Value Theorem guarantees that there exists a 
such that
so there must exist a
such that 
so there must exist a Fixed Point
.See also Banach Fixed Point Theorem, Brouwer Fixed Point Theorem, Kakutani's Fixed Point Theorem,Lefshetz Fixed Point Formula, Lefshetz Trace Formula, Poincaré-Birkhoff Fixed PointTheorem, Schauder Fixed Point Theorem- Cantor Diagonal Method
- Cantor Diagonal Slash
- Cantor Dust
- Cantor Function
- Cantor's Equation
- Cantor Set
- Cantor's Paradox
- Cantor Square Fractal
- Cantor's Theorem
- Cap
- Capacity
- Capacity Dimension
- Carathéodory Derivative
- Carathéodory's Fundamental Theorem
- Cardano's Formula
- Cardinality
- Cardinal Number
- Cardioid
- Cardioid Caustic
- Cardioid Evolute
- Cardioid Inverse Curve
- Cardioid Involute
- Cardioid Pedal Curve
- Cards
- Carleman's Inequality