Summarized Proofs to Find Common Fixed Points of Prešić Contractions for Four Maps

In this chapter, the idea of Hardy-Rogers type contractions for four maps is firstintroduced. Additionally, we expand the idea of Hardy-Rogers type contractionsfor four mappingsto Prěsi′c-Hardy-Rogers type contractions for four mappings. Since the proof of the fixedpoint results for such mappings is very long, wesummarize the proofs using a previously unexploredtechnique. An example andan application regarding the solvability of a class of integral equations are givento demonstrate the new methodology.