Article citationsMore>>

Eisenfeld, J. and Lakshmikantham, V. (1977) Remarks on Non-Linear Contraction and Comparison Principle in Abstract Cones. Journal of Mathematical Analysis and Applications, 61, 116-121.
https://doi.org/10.1016/0022-247X(77)90147-0

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.