As was criticized by Coughlin and Howe ([1989]), none of the above discrete procedures satisfied a criterion of intertemporal Pareto optimality.
Assume that { α n } in Mann and Ishikawa iteration procedures satisfies { α n } ⊆ ( 0, 1 ) and lim n → ∞ α n = 0. Also, let every Picard, Mann, Krasnoselskij and Ishikawa iterative sequence converge to q.
Suppose that { α n } in Mann and Ishikawa procedures satisfies lim n → ∞ α n = 0, T is a self-map of X with bounded above range and also every Mann and Ishikawa iterative sequence converges to a fixed point of T. Then the following are equivalent: (i) the Mann iteration is T-stable, (ii) the Ishikawa iteration is T-stable. . the Mann iteration is T-stable, the Ishikawa iteration is T-stable.
Furthermore, the following characteristics of DRS, (a) the non-invasive nature of the screening technique, (b) real-time data for quick decision-making, (c) no requirement for massive additional resources and specialised staff for screening and (d) absence of any recurring expenditure for the screening procedure, satisfy all the necessary requirements of a standard screening tool.
Theorem 11 Under Assumptions 1-3, the λMDP Procedure satisfies PIF, PIM, TN, PE, and PISP.
In another research work (Humphrey 2012), an interesting technique is applied to verify that an existing procedure satisfies the specifications.
end{aligned} (88 Let us show that this procedure satisfies LSP if and only if (beta =n-1).
Based on the overall performance of fresh and hardened properties, it can be deduced that the procedure satisfied the requirements for SCC.
Pairwise majority decision satisfies D if each of the voters disagrees in this way with both of the others, in some or other profile.[9] It always satisfies WP and I. On such a domain, we have now seen, this aggregation procedure satisfies all of Arrow's non-domain conditions.
