Generalized statistically convergent sequences of functions in fuzzy 2-normed spaces

Savas E., GÜRDAL M.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, vol.27, no.4, pp.2067-2075, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.3233/ifs-141172
  • Journal Name: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2067-2075
  • Keywords: lambda-statistical convergence, fuzzy 2-normed space, the sequences of functions, IDEAL CONVERGENCE, I-CONVERGENCE
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this paper, we introduce a new type of convergence for a sequence of function, namely, lambda-statistically convergent sequences of functions in fuzzy 2-normed space, which is a natural generalization of convergence in fuzzy 2-normed space. In particular, we introduce the concepts of uniform lambda-statistical convergence and pointwise lambda-statistical convergence in the topology induced by fuzzy 2-normed spaces, and give some basic properties of these concepts.