Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings"

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COMPLETION OF CONE METRIC SPACES (2010, background): “Then, (1 − ǫ)x ≤ x, but (1 − ǫ)‖x‖ > K‖x‖, see [10].”
THE EQUIVALENCE OF CONE METRIC SPACES AND METRIC SPACES (2010, background): “Then in [10, 9, 7, 12, 8, 1], the authors extend some fixed point theorems on metric spaces to cone metric spaces.”
Coupled fixed point theorems in cone metric spaces (2011, result): “Huang and Zhang [5] proved some existence and uniqueness theorems for selfmappings T : X → X using various contractive conditions as well as imposing normality condition on the cone P. However, some of the results of [5] were later improved by Rezapour and Hamlbarani [ 7 ] by removing the normality ”
Various generalizations of metric spaces and fixed point theorems (2015, result): “In [118], Rezapour and Hamlbarani obtained generalizations of some of the results of [71] omitting the assumption of normality.”
Couple Fixed Point on Cone Metric Spaces (2011, background): “Proof of (i) and (ii) are given in [13] and the last one follows from the definition.”
A Note on Various Types of Cones and Fixed Point Results in Cone Metric Spaces (2013, background): “It was shown in [24] that such assumption is usually not necessary.”