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On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space
Author(s) -
Asif Khan,
Mobeen Ahmad
Publication year - 2020
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor191115006k
Subject(s) - mathematics , convergence (economics) , ideal (ethics) , normed vector space , cauchy distribution , cauchy sequence , space (punctuation) , complete metric space , pure mathematics , discrete mathematics , mathematical analysis , computer science , banach space , philosophy , epistemology , economics , economic growth , operating system
In this paper, we study and introduce a new type of convergence, namely (?,?)- Zweier convergence and (?,?)- Zweier ideal convergence of double sequences x = (xij) in intuitionistic fuzzy normed space (IFNS), where ? = (?n) and ?= (?m) are two non-decreasing sequences of positive real numbers such that each tending to infinity. Furthermore, we studied (?,?)- Zweier Cauchy and (?,?)- Zweier ideal Cauchy sequences on the said space and established a relation between them.