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Nonlinear random equations with maximal monotone operators in Banach spaces

Published online by Cambridge University Press:  24 October 2008

Dimitrios Kravvaritis
Dimitrios Kravvaritis
Affiliation:
Department of Mathematics, National Technical University of Athens, Patission 42, Greece
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Extract

Let X be a real Banach space, X* its dual space and ω a measurable space. Let D be a subset of X, L: Ω × D → X* a random operator and η:Ω →X* a measurable mapping. The random equation corresponding to the double [L, η] asks for a measurable mapping ξ: Ω → D such that

Random equations with operators of monotone type have been studied recentely by Kannan and Salehi [7], Itoh [6] and Kravvarits [8].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 3 , November 1985 , pp. 529 - 532
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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