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On generalized statistical convergence in intuitionistic fuzzy normed space. (English) Zbl 1200.46067

Summary: We define and study λ-statistical convergence in intuitionistic fuzzy normed spaces (IFNS) which provide a little better tool to study a more general class of sequences. We also introduce here a new concept, that is, λ-statistical completeness, and show that IFNS is λ-statistically complete but not complete.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:
46S40Fuzzy functional analysis
40G15Summability methods using statistical convergence