TITLE:
Some Theorems for Real Increasing Functions in Elementary Fixed Point Theory
AUTHORS:
Maria Luigia Diviccaro, Salvatore Sessa
KEYWORDS:
Increasing Function, Upper Broad Sequentially Semicontinuity on the Right, Greatest Fixed Point
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.10 No.9,
September
10,
2020
ABSTRACT: 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.