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Convergence of successive approximations to a stochastic fixed point

Published online by Cambridge University Press:  14 July 2016

Arun P. Sanghvi
Arun P. Sanghvi*
Affiliation:
ICF Incorporated
*
∗Postal address: ICF Incorporated, 1850 K St. NW, Suite 950, Washington D. C. 20006, U.S.A.
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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).

Keywords

FIXED POINTMARKOV PROCESSESINVARIANT DISTRIBUTIONDOMINATED OPERATORRANDOM MAPPINGSQUASI-COMPACT OPERATORS
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 1 , March 1980 , pp. 297 - 299
Copyright
Copyright © Applied Probability Trust 1980 

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Footnotes

Research partially funded by NSF grant GK–38121.

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