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Some Theorems for Real Increasing Functions in Elementary Fixed Point Theory
Dipartimento di Architettura, Università di Napoli, Napoli, Italy
Dipartimento di Architettura, Università di Napoli, Napoli, Italy
- 1 Dipartimento di Architettura, Università di Napoli, Napoli, Italy
- 2 Dipartimento di Architettura, Università di Napoli, Napoli, Italy
Advances in Pure Mathematics·Volume 10 (2020)·Pages 501–507·Published 8 September 2020·DOI10.4236/apm.2020.109031
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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.
KeywordsIncreasing FunctionUpper Broad Sequentially Semicontinuity on the RightGreatest Fixed Point
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