Six functionals fixed point theorem

The Six Functionals Fixed Point Theorem is a generalization of the Five Functionals Fixed Point Theorem as well as the original triple fixed point theorem of Leggett-Williams. In the Six Functionals Fixed Point Theorem, none of the functional boundaries are required to map above or below the boundary in the functional sense. As an application, the existence of at least three positive solutions to a second order right focal boundary value problem is considered by applying both standard and non-standard choices of functionals. An extension to multivalued maps is provided for completeness.