LIMIT THEOREMS IN (l)-GROUPS WITH RESPECT TO (D)-CONVERGENCE

ON CONVERGENCE THEOREMS FOR FUZZY HENSTOCK INTEGRALS

The main purpose of this paper is to establish different types of convergence theorems for fuzzy Henstock integrable functions, introduced by  Wu and Gong cite{wu:hiff}. In fact, we have proved fuzzy uniform convergence theorem, convergence theorem for fuzzy uniform Henstock integrable functions and fuzzy monotone convergence theorem. Finally, a necessary and sufficient condition under which th...

Nonstandard Characterization of Convergence in Law for D[0,1]-valued Random Variables

D. Landers and L. Rogge Abstract. We prove for random variables with values in the space D[0; 1] of cadlag functions | endowed with the supremum metric | that convergence in law is equivalent to nonstandard constructions of internal S-cadlag processes, which represent up to an in nitesimal error the limit process. It is not required as earlier, that the limit process is concentrated on the spac...

Convergence Theorems For Two Finite Families of Uniformly L-Lipschitzian Mappings

The Concept of Sub-independence and Its Application in Statistics and Probabilities

 Many Limit Theorems, Convergence Theorems and Characterization Theorems in Probability and Statistics, in particular those related to normal distribution , are based on the assumption of independence of two or more random variables. However, the full power of independence is not used in the proofs of these Theorems, since it is the distribution of summation of the random variables whic...

Convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings

The purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. The results in this paper improve and extend the corresponding results of Xu and Ori, Zhou and Chang, Sun, Yang and Yu in some aspects.