Random fixed points and random differential inclusions

Nikolaos S. Papageorgiou

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-9

Abstract:

In this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. Then we prove two fixed point theorems for random multifunctions with stochastic domain that satisfy certain tangential conditions. Finally we consider a random differential inclusion with upper semicontinuous orientor field and establish the existence of random solutions.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:383687

DOI: 10.1155/S0161171288000663

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