Fixed Point Theorem of Cone Expansion and Compression of Functional Type

Abstract

The fixed point theorem of cone expansion and compression of norm type is generalized by replacing the norms with two functionals satisfying certain conditions to produce a fixed point theorem of cone expansion and compression of functional type. We conclude with an application verifying the existence of a positive solution to a discrete second-order conjugate boundary value problem. Keywords: Fixed Point TheoremsBoundary Value ProblemDifference Equations