Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces-Reference-Cited by-同舟云学术

Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces

Published:2022 Issue:3 Volume:32 Page:377-388
ISSN:0354-0243
Container-title:Yugoslav Journal of Operations Research
language:en
Short-container-title:YUGOSLAV J OPERATION

Author:

Narayan Mishra Lakshmi¹,Raiz Mohd²,Rathour Laxmi³,Narayan Mishra Vishnu²

Affiliation:

1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

2. Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh, India

3. Bhagatbandh, Anuppur, Madhya Pradesh, India

Abstract

We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean summability. This study reveals also Tauberian results for some known summation methods in the special cases.

Publisher

National Library of Serbia

Subject

Management Science and Operations Research

Reference14 articles.

1. Atanassov, K. T, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20 (1) (1986) 87-96.

2. Chen, C. P, Hsu, J. M., "Tauberian theorems for weighted means of double sequences", Analysis Mathematica, 26 (2000) 243-262.

3. Efe, H., Alaca, C., "Compact and bounded sets in intuitionistic fuzzy metric spaces", Demonstratio Mathematica, 40 (2) (2007) 449-456.

4. Jena, B. B, Paikray, S. K., and Misra, U. K, "Tauberian theorem for double Cesàro summability method", International Journal of Mathematics and Mathematical Sciences, 1 (2016) 1-4.

5. Jena, B. B, Paikray, S. K, and Misra, U. K, "Inclusion theorems on general convergence and statistical convergence of (L; 1; 1) - summability using generalized Tauberian conditions, Tamsui Oxf", Journal of Information and Mathematical Sciences, 31 (1) (2017) 101-115.

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new multi-criteria decision making method for the selection of construction contractors using interval valued fuzzy set;BMC Research Notes;2024-04-22

2. ON LACUNARY Am-STATISTICAL CONVERGENCE IN G-METRIC SPACES;KOREAN J MATH;2024

3. Approximation and Moduli of continuity of functions in Holder class H^α[0,μ), μ > 0 and wavelet solutions of singular differential equations;FILOMAT;2024

4. Dual Hesitant Fermatean Fuzzy Hamacher Operators in the Evaluation of Healthcare Sustainability;Lecture Notes in Networks and Systems;2024

5. The Impact of Alternative Food Sources on Chaos Occurrence and Control: Insights from the Leslie-Gower Type Tritrophic Food Chain Model;Lecture Notes in Networks and Systems;2024