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.
Some Theorems for Real Increasing Functions in Elementary Fixed Point Theory / Sessa, Salvatore. - In: ADVANCES IN PURE MATHEMATICS. - ISSN 2160-0368. - 10:9(2020), pp. 501-507. [10.4236/apm.2020.109031]
Some Theorems for Real Increasing Functions in Elementary Fixed Point Theory
salvatore sessa
Secondo
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.File in questo prodotto:
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