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A relaxation view of a genetic problem

Published online by Cambridge University Press:  01 July 2016

E. Seneta
E. Seneta*
Affiliation:
The Australian National University, Canberra
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Extract

Suppose where S is a compact set (of say). Let Φ (mapping S into S) and Ψ be continuous on S and such that Ψ(xk ) is monotone (non-decreasing, say) as k increases, and xk+1 = Φ(xk ). Put Ψ∗ = lim (k → ∞)Ψ(xk ); if {x k(i)}∞ i=0 is a convergent subsequence of {xk }, with a limit-point α, then Ψ∗ = Ψ(α), and and

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Type
Research Article
Information
Advances in Applied Probability , Volume 10 , Issue 4 , December 1978, pp. 716 - 720
Copyright
Copyright © Applied Probability Trust 1978 

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References

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