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In real reflexive separable Banach space which admits a weakly sequentially continuous duality mapping, the sufficient and necessary condition that nonexpansive random mapping has a random fixed point is obtained. By introducing a random iteration process with weak contraction random operator, we obtain the convergence theorem of the random iteration process to a random fixed point for nonexpansive...
The purpose of this paper is to introduce and construct an iterative scheme by the viscosity approximation method for random nonexpansive mapping T in Banach spaces and to study that under suitable conditions this iterative process converges strongly to random fixed point of T .
In previous works valuable tools in testing statistical hypotheses about the means of fuzzy random variables have been developed. In this paper we present a study about the power function of an asymptotic procedure for the one-sample test. More precisely, the behaviour of the statistic under local alternatives is analyzed. The procedure is carried out on the basis of a metric between fuzzy sets defined...
In this paper, we shall prove the strong law of large numbers (SLLN) for set-valued random variables in the sense of dH, and the basic space being Rademacher type p(1lesples2) Banach space. This kind of SLLN is the extension of classical SLLN's for Xi-valued random variables and it also implies previous SLLN's results for set-valued random variables
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