No compactness assumption is imposed either on one of the mappings or on C. The results obtained in this paper improve and extend the results of Theorem IS, Zhou [14], Yao et al. [12], Tang et al. [13] and Habtu Zegeye et al. [18].
To reverse this tragedy in the making, Hardin recommended that there should be 'a coercive force' outside the herders that imposed either government or private ownership on the ecological commons.
In general, it does not yield convergence of the sequence to a fixed point of T. To obtain convergence to a fixed point of T, some type of compactness condition must be imposed either on K or on the map T (e.g., T may be required to be demicompact at zero, or ( I − T ) may be required to map closed bounded subsets of E into closed subsets of E, etc.; see, e.g., Chidume [8]).
Whatever the constraints eventually imposed on either model, the genie is out of the bottle.
The FF condition is not imposed on either of the two models through their construction.
And it either imposes punitive taxes on the poor, or makes then forever beholden to the central government with monthly "prebate" checks.
This implies that any system with multiple negative feedback loops encompassing one imposing on either the last or second last step (or with k1,.., k m ∈ {1, 2,.., l}) is also incapable of having oscillatory dynamics.
This leads us to conclude that smoothness should be imposed on the model, either through longer training times, or by application of a smoothening function to the model.
