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Convergence of successive approximations to a stochastic fixed point
Published online by Cambridge University Press: 14 July 2016
Abstract
This paper describes some sufficient conditions that ensure the convergence of successive random applications of a family of mappings {Γα : α ∈ A} on a compact metric space (X, d) to a stochastic fixed point. The results are similar in spirit to a recent result of Yahav (1975).
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- Short Communications
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- Copyright © Applied Probability Trust 1980
Footnotes
Research partially funded by NSF grant GK–38121.