Stacking leggett-williams conditions in the layered compression-expansion fixed point theorem

Abstract

In this paper we show how one can replace expansion-compression conditions in the Layered Compression-Expansion Fixed Point Theorem by Leggett-Williams conditions. We then show how we can stack Leggett-Williams conditions on any of the expansioncompression conditions of a fixed point theorem. We remark on the utility of using Leggett-Williams conditions with the Layered Compression-Expansion Fixed Point Theorem and finish with an existence of solutions argument to a right focal boundary value problem as an application.