## 116 Citations

On deterministic and random fixed points

- Mathematics
- 1993

Based on an extension of Aumann's measurable selection theorem due to Leese, it is shown that each fixed point theorem for F(ω, .) produces a random fixed point theorem for F provided the σ-algebra Σ…

Implicit function theorem in topological spaces

- Mathematics
- 1982

We prove here a Filippov type implicit function theorem for Carath$eacute;odory mappings in general topological space. We also prove a Banach space version which is applicable to optimal control…

On a random volterra integral inclusion in banach spaces

- Mathematics
- 1987

The existence of random solutions is established for a class of random Volterra integral inclusions in which the orientor field has a stochastic domain. The proof is based on a stochastic analog of…

A general view of reflexivity

- Mathematics
- 1994

Various concepts of reflexivity for an algebra or linear space of operators have been studied by operator theorists and algebraists. This paper contains a very general version of reflexivity based on…

A New Martingale Representation Theorem (Discrete Time)

- Mathematics
- 2004

In this paper, we prove a new theorem concerning representation of discrete time martingales, which is based on solving a specially chosen problem of optimal control with random sequences. We…

Random semilinear evolution equations in Banach spaces

- Mathematics
- 1991

In this paper we prove the existence of mild solutions for random, semilinear evolution equations involving a random, linear, unbounded m-dissipative operator and a random single valued or…

Properties of countable separation and implicit function theorem

- Mathematics
- 1990

We consider some properties of countable separation for familiesA andD of subsets of a setX by means of elements of a fixed familyM⊂P(X). We give necessary and sufficient conditions, in terms of…

A note on nearby variables with nearby conditional laws

- Mathematics
- 1996

Summary.We apply a version of the Strassen–Dudley theorem for Markov kernels to obtain a strong approximation theorem for sequences of random variables with values in Polish spaces. The conditions…

MEASURABLE SELECTION THEOREMS AND PROBABILISTIC CONTROL MODELS IN GENERAL TOPOLOGICAL SPACES

- Mathematics
- 1988

Let be a measurable space, a finite measure on , and a -compact topological space (not necessarily metrizable); is the Baire -algebra of and the Borel -algebra. Let be the completion of with respect…

Nonlinear random operator equations and inequalities in Banach spaces

- Mathematics
- 1992

In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also…

## References

SHOWING 1-6 OF 6 REFERENCES

Borel structure in groups and their duals

- Mathematics
- 1957

Introduction. In the past decade or so much work has been done toward extending the classical theory of finite dimensional representations of compact groups to a theory of (not necessarily finite…

Espaces vectoriels topologiques

- Philosophy
- 1955

Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements. Ce livre est le cinquieme du…