Author(s)

Maria Luigia Diviccaro, Salvatore Sessa^*

Dipartimento di Architettura, Università di Napoli, Napoli, Italy.

We obtain some theorems for real increasing functions showing that elementary fixed point theory can bring to astonishing results by assuming only a few properties, some of which intrinsically possessed from these functions. An application is given for a theorem of quasi-compactness and a known result in posets is also recalled and applied to real intervals.

Increasing Function, Upper Broad Sequentially Semicontinuity on the Right, Greatest Fixed Point

Diviccaro, M. and Sessa, S. (2020) Some Theorems for Real Increasing Functions in Elementary Fixed Point Theory. Advances in Pure Mathematics, 10, 501-507. doi: 10.4236/apm.2020.109031.