Fibonacci Ideal Convergence on Intuitionistic Fuzzy Normed Linear Spaces

Abstract

The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion. Then, we examine the Fibonacci I-Cauchy sequences and Fibonacci I completeness in the construction of an intuitionistic fuzzy normed linear space. Some intuitionistic fuzzy Fibonacci ideal convergent spaces have been established. Further, we prove on some algebraic and topological features of these convergent sequence spaces.

Keywords

• Fibonacci -convergence
• Fibonacci -Cauchy sequence
• intuitionistic fuzzy normed linear space
• 11B39
• 41A10
• 41A25