We now concern a fixed point theorem for a weaker Meir-Keeler type -set contraction in a complete metric space, which needs not to be a compact map.
Network lifetime is a novel performance metric which is derived in need to evaluate the networks that are composed of nodes with non-replenishable energy sources.
We need a fair metric, which treats the black and white backgrounds such as Fig. 10 equally.
The proposed visual signal fidelity metric, which is called sparse correlation coefficient (SCC), is motivated by the need to capture the correlation between two sets of outputs from a sparse model of simple cell receptive fields.
Therefore, these three independent dimensions need to be combined according to the qualitative assessment of sprawl to create a suitable metric – which is exactly what the WUP metric does using two weighting functions.
The EER metric is a powerful metric which allows easily comparing and evaluating biometric systems.
Now, we present some necessary definitions and results in multiplicative metric spaces, which will be needed in the sequel.
One of the most interesting extensions of distance function was reported by Matthews [1] by introducing the notion of a partial metric in which self-distance need not be zero.
A metric ruler uses the metric system, which measures in centimeters instead of inches.
In the following we recall some auxiliary notions and results in a b-metric space [7 9, 11] which are needed subsequently.
