New Convergence Definitions for Sequences of Sets | Zendy

Ömer Kı̇şı̇ | Zendy; Fatıh Nuray | Zendy

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New Convergence Definitions for Sequences of Sets

Author(s) -

Ömer Kı̇şı̇,

Fatıh Nuray

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/852796

Subject(s) - mathematics , convergence (economics) , sequence (biology) , cauchy sequence , cauchy distribution , modes of convergence (annotated index) , cauchy's convergence test , metric space , discrete mathematics , mathematical analysis , topological space , free boundary problem , topological vector space , genetics , cauchy boundary condition , isolated point , economics , biology , boundary value problem , economic growth

Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman -convergence and Wijsman -convergence for sequences of sets and establish some basic theorems. Furthermore, we introduce the concepts of Wijsman I-Cauchy sequence and Wijsman -Cauchy sequence and then study their certain properties

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