On paranorm BVσ I-convergent double sequence spaces defined by an Orlicz function

VA Khan, H Fatima, SAA Abdullah, KMAS Alshlool - Analysis, 2017‏ - degruyter.com
The space BV σ was introduced and studied by Mursaleen. In the present article we study
the double sequence spaces (0 BV (M, p) σ I) 2, BV 2 (M, p) σ I and (∞ BV (M, p) σ I) 2 with …

Some new classes of paranorm ideal convergent double sequences of sigma-bounded variation over n-normed spaces

VA Khan, KMAS Alshlool, SAA Abdullah… - Cogent Mathematics …, 2018‏ - Taylor & Francis
The sequence space BV σ, the space of all sequence of σ-bounded variation, was firstly
defined and studied by Mursaleen. Later on, Vakeel and Tabassum developed the same …

[PDF][PDF] Intuitionistic fuzzy I-convergent sequence spaces defined by bounded linear operator

VA Khan, RKA Rababah, H Fatima, M Ahmad - ICICI Express Letters, 2018‏ - icicel.org
A fuzzy theory was introduced by Zadeh, and a huge number of research papers have
appeared on fuzzy theory and its applications as well as fuzzy analogues of the classical …

[HTML][HTML] Some Topological Properties of Intuitionistic Fuzzy Normed Spaces

VA Khan, H Fatima, M Ahmad - Fuzzy Logic, 2019‏ - intechopen.com
In 1986, Atanassov introduced the concept of intuitionistic fuzzy set theory which is based on
the extensions of definitions of fuzzy set theory given by Zadeh. This theory provides a …

[PDF][PDF] ON IDEAL CONVERGENT DOUBLE SEQUENCES OF σ–BOUNDED VARIATION IN 2–NORMED SPACES DEFINED BY A SEQUENCE OF MODULI

VA Khan, SAA Abdullah, A Esi, KMAS Alshlool - Journal of Science and Arts, 2019‏ - josa.ro
The notion of ideal convergence in–normed spaces was defined and studied by Gürdal [1]
for single real sequences. After Gürdal work Saeed Sarabadan and Sorayya Talebi [2] …

On some new i-convergent double sequence spaces of invariant means defined by ideal and modulus function

VA Khan, H Fatıma, SAA Abdullah… - Sigma Journal of …, 2017‏ - dergipark.org.tr
The sequence space BV_ (σ) was introduced and studied by Mursaleen [Houston J. Math. 9,
505-509 (1983; Zbl 0542.40003)]. The main aim of this paper is to study some new double …

A Study of Bounded Variation Sequence Spaces

VA Khan, H Fatima, M Ahmad - Applied Mathematics, 2019‏ - books.google.com
In the theory of classes of sequence, a wonderful application of Hahn-Banach extension
theorem gave rise to the concept of Banach limit, ie, the limit functional defined on c can be …