Abstract
The focus of this paper is to present some concepts of intuitionistic fuzzy T-convergence in intuitionistic fuzzy 2-Banach spaces. We will modify and correct the definition of regularity of 2-norms on 2-Banach spaces, which was given by Gürdal et al. in (2009, Nonlinear Analysis: Theory, Methods & Applications, 71, 1654–1661) to guarantee uniqueness of T-limit of T-convergence. Furthermore, we will introduce the concepts of intuitionistic fuzzy regularity and investigate consistency of intuitionistic fuzzy 2-norms on domain and range of the operator |$T_{n}$|. We will give some illustrative examples supporting our theoretical results.
Keywords
Banach space
Mathematics
Pure mathematics
Linear operators
Discrete mathematics
Computer science
Mathematical analysis
Bounded function
Subject Areas
Fixed Point Theorems Analysis
·Geometry and Topology ·Physical Sciences
Approximation Theory and Sequence Spaces
·Statistics and Probability ·Physical Sciences
Fuzzy and Soft Set Theory
·Management Science and Operations Research ·Social Sciences
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