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JP Journal of Fixed Point Theory and Applications

JP Journal of Fixed Point Theory and Applications
Volume 12, Issue 2-3, Pages 73 - 80 (December 2017)
http://dx.doi.org/10.17654/FP0120230073

A WEAK ERGODIC THEOREM FOR INFINITE PRODUCTS OF OPERATORS IN METRIC SPACES

Simeon Reich and Alexander J. Zaslavski

Abstract:

We study infinite products generated by sequences of nonlinear self-mappings of a bounded metric space and establish a weak ergodic theorem for those sequences which satisfy a certain contractivity assumption.

Keywords and phrases:

contractive mapping, infinite product, metric space, weak ergodic theorem.

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P-ISSN: 0973-4228

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