A * -mixing convergence theorem for convex set valued processes

A. de Korvin and R. Kleyle

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-8

Abstract:

In this paper the concept of a * -mixing process is extended to multivalued maps from a probability space into closed, bounded convex sets of a Banach space. The main result, which requires that the Banach space be separable and reflexive, is a convergence theorem for * -mixing sequences which is analogous to the strong law of large numbers. The impetus for studying this problem is provided by a model from information science involving the utilization of feedback data by a decision maker who is uncertain of his goals. The main result is somewhat similar to a theorem for real valued processes and is of interest in its own right.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:481727

DOI: 10.1155/S0161171287000024

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