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Diviccaro, M.L. and Sessa, S. (2013) Maximum and Minimum Fixed Points of Isotone Operators in Partially Ordered Sets. International Journal of Contemporary Mathematical Sciences, 8, 69-74.
https://doi.org/10.12988/ijcms.2013.13007

has been cited by the following article:

• 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.