Nearly Disjoint Sequences in Convergence -groups
نویسنده
چکیده
For an abelian lattice ordered group G let convG be the system of all compatible convergences on G; this system is a meet semilattice but in general it fails to be a lattice. Let αnd be the convergence on G which is generated by the set of all nearly disjoint sequences in G, and let α be any element of convG. In the present paper we prove that the join αnd ∨ α does exist in convG.
منابع مشابه
On The Convergence Of Modified Noor Iteration For Nearly Lipschitzian Maps In Real Banach Spaces
In this paper, we obtained the convergence of modified Noor iterative scheme for nearly Lipschitzian maps in real Banach spaces. Our results contribute to the literature in this area of re- search.
متن کامل$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers
In this paper, we introduce and study the concepts of $mathcal{I}_2$-convergence, $mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{I}_2$ denotes the ideal of subsets of $mathbb N times mathbb N$. Also, we study some properties and relations of them.
متن کاملStrong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of I-Dominated mappings
In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly unif...
متن کاملFURTHER RESULTS OF CONVERGENCE OF UNCERTAIN RANDOM SEQUENCES
Convergence is an issue being widely concerned about. Thus, in this paper, we mainly put forward two types of concepts of convergence in mean and convergence in distribution for the sequence of uncertain random variables. Then some of theorems are proved to show the relations among the three convergence concepts that are convergence in mean, convergence in measure and convergence in distributio...
متن کاملWijsman Statistical Convergence of Double Sequences of Sets
In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and Wijsman statistical Cauchy double sequences of sets and investigate the relationship between them.
متن کامل