Fibonacci Lacunary Ideal Convergence of Double Sequences in Intuitionistic Fuzzy Normed Linear Spaces

Abstract

The purpose of this article is to research the concept of Fibonacci lacunary ideal convergence of double sequences in intuitionistic fuzzy normed linear spaces (IFNS). Additionally, a new concept, called Fibonacci lacunary convergence, is examined. Fibonacci lacunary I<inf>2</inf>-limit points and Fibonacci lacunary I<inf>2</inf>-cluster points for double sequences in IFNS have been defined and the significant results have been given. Additionally, Fibonacci lacunary Cauchy and Fibonacci lacunary I<inf>2</inf>-Cauchy double sequences in IFNS are worked. © 2024 Elsevier B.V., All rights reserved.