Papers by Vakeel Ahmad Khan
CRC Press eBooks, Jun 18, 2021
Journal of Inequalities and Applications, Dec 5, 2022
The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, ... more The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, which is a fair extension of intuitionistic fuzzy continuity and intuitionistic fuzzy boundedness, respectively. The article further advances to illustrate the Fréchet derivative of nonlinear operators between neutrosophic normed spaces (NNS). Examples have been provided in compliance with the theory with the aid of some standard sequence spaces.
Communications in advanced mathematical sciences, Dec 29, 2019
In this paper we introduce some new sequence spaces c I 0 (F, p), c I (F, p) and I ∞ (F, p) for p... more In this paper we introduce some new sequence spaces c I 0 (F, p), c I (F, p) and I ∞ (F, p) for p = (p n), a sequence of positive real numbers. In addition, we study some topological and algebraic properties on these spaces. Lastly, we examine some inclusion relations on these spaces.
Zenodo (CERN European Organization for Nuclear Research), Apr 22, 2021
Orhan proposed the concept of lacunary statistical convergence. In present paper, we introduce la... more Orhan proposed the concept of lacunary statistical convergence. In present paper, we introduce lacunary statistically convergent in neutrosophic normed space (brifly, NNS). We define the concept of lacunary statistical Cauchy sequence in NNS and derive the relation between statistical completness and completeness in NNS. We give some basic properties of these concepts.
Proceedings of the National Academy of Sciences, India. Section A, Physical sciences, Mar 9, 2023
Journal | MESA, Feb 26, 2021
Theory and Applications of Mathematics & Computer Science, Nov 1, 2016
In this article we study 2 p 0 BV I σ pMqq, 2 BV I σ pMq, 2 p 8 BV I σ pMqq double sequence space... more In this article we study 2 p 0 BV I σ pMqq, 2 BV I σ pMq, 2 p 8 BV I σ pMqq double sequence spaces with the help of BV σ space and an Orlicz function M. The BV σ space was introduced and studied by (Mursaleen, 1983). We study some of its properties and prove some inclusion relations.
Global Journal of Science Frontier Research, Sep 23, 2010
In this paper we define the notion of strong summability by a sequence of Orlicz functions and ex... more In this paper we define the notion of strong summability by a sequence of Orlicz functions and examine its relationship with A-statistical convergence.
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas, May 28, 2022
European Journal of Pure and Applied Mathematics, Apr 20, 2017
The purpose of this paper is to introduce the intuitionistic fuzzy Zweier I-convergent double seq... more The purpose of this paper is to introduce the intuitionistic fuzzy Zweier I-convergent double sequence spaces 2 Z I (µ,ν) (M) and 2 Z I 0(µ,ν) (M) defined by Orlicz function and study the fuzzy topology on the said spaces.
Soft Computing, Feb 25, 2023
Chapman and Hall/CRC eBooks, May 17, 2022
The journal of mathematics and computer science, Dec 11, 2019
In this paper, we define some new sequence spaces c I 0 (H), c I (H), I ∞ (H), and ∞ (H) as a dom... more In this paper, we define some new sequence spaces c I 0 (H), c I (H), I ∞ (H), and ∞ (H) as a domain of triangle Hilbert matrix and study some topological and algebraic properties of these spaces. Further, we study some inclusion relations concerning these spaces.
Analysis, 2017
The space BV σ was introduced and studied by Mursaleen [21]. In the present article we study the ... more The space BV σ was introduced and studied by Mursaleen [21]. In the present article we study the double sequence spaces (BV I σ (M, p)), BV I σ (M, p) and (∞ BV I σ (M, p)) with the help of the space BV σ and an Orlicz function M, where p = (p ij) is the double sequence of strictly positive real numbers. We study some of its properties and prove some inclusion relations related to these new spaces.
Numerical Functional Analysis and Optimization, Sep 10, 2018
The notation of I-convergence was introduced and studied by Kostyrko, Macaj, Salat, and Wilczynsk... more The notation of I-convergence was introduced and studied by Kostyrko, Macaj, Salat, and Wilczynski. Recently, the concept of I-convergent for a sequence of bounded linear operators has been studied by Khan and Shafiq. This has motivated us to introduce and study some new spaces of double sequences of bounded linear operators and their basic topological and algebraic properties of these spaces. And we study some of their basic topological and algebraic properties of these spaces. We prove some inclusion relations on these spaces.
Journal of Inequalities and Applications, Apr 14, 2022
The concept of Tribonacci sequence spaces by the domain of a regular Tribonacci matrix was introd... more The concept of Tribonacci sequence spaces by the domain of a regular Tribonacci matrix was introduced by Yaying and Hazarika (Math. Slovaca 70(3):697-706, 2000). In this paper, by using the domain of regular Tribonacci matrix T = (t ik) and the concept of neutrosophic convergence, we introduce some neutrosophic normed space in Tribonacci convergent spaces and prove some topological and algebraic properties based results with respect to these spaces.
The journal of mathematics and computer science, Sep 27, 2020
In this paper, we use the notion of λ-statistical convergence in order to generalize these concep... more In this paper, we use the notion of λ-statistical convergence in order to generalize these concepts. We establish some inclusion relations between them. We define the statistical convergence and λ-statistical convergence in neutrosophic normed space. We give the λ-statistically Cauchy sequence in neutrosophic normed space and present the λ-statistically completeness in connection with a neutrosophic normed space. Some interesting examples are also displayed here in support of our definitions and results.
Serdica. Mathematical Journal, 2008
In the present note, it is proved that there donot exist warped product semi-slant submanifolds i... more In the present note, it is proved that there donot exist warped product semi-slant submanifolds in a Sasakian manifold other than contact CR-warped product submanifolds and thus the results obtained in [8] are generalized.
Uploads
Papers by Vakeel Ahmad Khan