Banach Fixed Point Theorem
Let 
be a contraction mapping from a closed Subset 
of a Banach Space 
into . Then there existsa unique 
such that 
.
References
Debnath, L. and Mikusinski, P. Introduction to Hilbert Spaces with Applications. San Diego, CA: Academic Press, 1990.
- Fibonacci Hyperbolic Cosine
- Fibonacci Hyperbolic Cotangent
- Fibonacci Hyperbolic Sine
- Fibonacci Hyperbolic Tangent
- Fibonacci Identity
- Fibonacci Matrix
- Fibonacci n-Step Number
- Fibonacci Number
- Fibonacci Polynomial
- Fibonacci Pseudoprime
- Fibonacci Q-Matrix
- Fibonacci Sequence
- Fibration
- Field
- Field Axioms
- Field Extension
- Fields Medal
- Fifteen Theorem
- Figurate Number
- Figurate Number Triangle
- Figure Eight Knot
- Figure Eight Surface
- Figure-of-Eight Knot
- Figures
- Filon's Integration Formula