Band 21, Heft 1

Abstract. The purpose of this paper is to examine the notion of completely random operators and to prove some random fixed point theorems for such operators. Unlike many random fixed point theorems for random operators, it seems to be impossible to obtain them from deterministic fixed point theorems.

Abstract. We study the properties of the distribution of the random variable represented by binary fraction with two redundant digits 2 and 3. The problem on the Lebesgue type of the distribution of with identically distributed digits is completely solved.

Abstract. We study parameter estimation for a two-dimensional stochastic Navier–Stokes equation driven by an infinite dimensional fractional Brownian motion.

Abstract. In this paper we consider the problem of convergence of a three-step random fixed point iteration with errors for the case of three random asymptotically quasi-nonxpansive type operators in a real separable Banach space. The stability of the iterative process has also been discussed. We define almost stability and show that the random iteration is almost stable. The present work also generalizes several established results in Banach spaces.

Abstract. The Generalized Circular Law under the G -Lindeberg condition for the independent entries of a random matrices having non-zero expectations and bounded variances is proven.