Mustafa and Sims [20] introduced the notion of G-metric and obtained some well-known fixed point results in the setting of G-metric spaces.
On specifying f and α in (S_{alpha}^{f} -convergence, we obtain some well-known nonmatrix convergence methods.
From these definitions, we can obtain some well-known subclasses of Σ p by special choices of the functions ϕ and ψ as well as special choices of η, γ, and p (see [2, 5], and [10]).
The simulation results obtained for some well known benchmark examples justify the efficacy of the proposed OHS based system identification approach over GA, PSO and DE in terms of convergence speed, identifying the system plant coefficients and mean square error (MSE) fitness values produced for both same order and reduced order models of adaptive IIR filters.
The simulation results obtained for some well known benchmark examples justify the efficacy of the proposed system identification approach using FFA over GA, PSO and DE in terms of convergence speed, identifying plant coefficients and mean square error (MSE) fitness values produced for both same order and reduced order models of adaptive IIR filters.
We obtained some approximation results via the well-known Korovkin-type theorem.
Furthermore, bounds for these measures are obtained from some well-known dependence concepts, as the PQD property, and ageing properties of the random environment.
Based on them, we thereupon obtain some equivalences between some well-known theorems for multivalued or generalized multivalued contractions.
In the process, important knowledge of the studied problem is obtained as well as some simplifications for the powerful Iterated Greedy methodology which results in a simpler approach with less parameters.
Furthermore, the frequency response curves of asymmetric structures without and with both the optimum MTMD and TMD are plotted for the three cases of TTFR as well, consequently obtaining some very useful results.
This enabled us to distinguish regional pain (limited to 1 or 2 quadrants – upper, lower, right or left) and widespread pain that involved 3 or 4 quadrants as well as obtain some measure of the intensity of the pain at the time of the data collection.
