Results 41 to 50 of about 122 (108)

Arithmetic statistically convergent on neutrosophic normed spaces

Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
This work is concerned with several important different types of convergence that will be described on neutrosophic normed spaces. In the study, arithmetic convergence was combined with different types of statistical convergence and then integrated into the structure of neutrophic spaces established through the membership function. For this purpose, in
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Some remarks on ∆m-Ces`aro summability in neutrosophic normed spaces

Neutrosophic Sets and Systems, 2023
In this paper, we define the notion of a generalized summability, called Ces`aro summability in neutrosophic normed spaces (briefly NNS). We obtain conditions under which ordinary summability follows from Cesaro summability. Later, we define a concept of slowly oscillating sequences in NNS and establish related Tauberian Theorems in neutrosophic normed
Vijay Kumar, Archana Sharma, Meenakshi Chawla   +2 more
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New Approach on Statistical Convergence of Triple Sequences in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
In this project the triple sequence’s statistical convergence within Neutrosophic normed space is proposed. Also, algebra of statistical limits and statistical cauchy sequences are discussed in this article. Furthermore, the article provides instances to
P. Jenifer , M. Jeyaraman
doaj   +1 more source

Best Proximity Point Results via 𝒵‐Contractive Mappings in Non‐Archimedean Intuitionistic Fuzzy Metric Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce a new class of intuitionistic fuzzy contractive (IFC) mappings, termed Z‐contractive mappings, and establish fixed point results in M‐complete intuitionistic fuzzy metric spaces (IFMSs). We further define intuitionistic fuzzy (IF) Z‐proximal contractions to obtain best proximity points for non‐self mappings between two ...
Vakeel A. Khan, Mohd Kamran, Bipan Hazarika, B. B. Upadhyay   +3 more
wiley   +1 more source

A Hybrid Probabilistic-Neutrosophic Adaptive Convergence Model for Analyzing Innovative Performance of Agricultural Technology Enterprises in the Digital Economy [PDF]

Neutrosophic Sets and Systems
This paper introduces a novel mathematical framework that integrates hybrid probabilistic-neutrosophic logic with adaptive rough ideal statistical convergence (AR-I st) to model and analyze the dynamic performance of innovative agricultural technology ...
Hongyan Xie
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The Role of Generalized β−J Contraction Mappings in Neutrosophic Metric Spaces and Its Applications

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this study, we have introduced the neutrosophic generalized β−J contraction as a generalization of the neutrosophic J‐contraction with admissible mappings. Sufficient conditions for the existence and uniqueness of the fixed points for a neutrosophic generalized β−J contraction are derived in complete strong neutrosophic metric spaces (SNMSs).
M. Pandiselvi, M. Jeyaraman, Rahul Shukla, Mohammad Safi Ullah   +3 more
wiley   +1 more source

Exploring Topological characteristics of Neutrosophic Banach Spaces [PDF]

Neutrosophic Sets and Systems
The open mapping theorem, the closed graph theorem, and other topological characteristics of neurosophic Banach spaces are examined in this paper. Moreover, in neutrosophic normed spaces, the closedness characteristics of the sum of two linear operators ...
Pandiselvi. M, Jeyaraman. M
doaj   +1 more source

Continuous and bounded linear operators in neutrosophic normed spaces

Journal of Intelligent & Fuzzy Systems, 2021
In this article, we show that the addition and scalar multiplication in neutrosophic normed spaces are continuous. The neutrosophic boundedness and continuity of linear operators between neutrosophic normed spaces are examined. Moreover, we analyzed that the set of all neutrosophic continuous linear operators and the set of all neutrosophic bounded ...
Khan, Vakeel A., Esi, Ayhan, Ahmad, Mobeen, Daud Khan, Mohammad   +3 more
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Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b‐Metric Spaces

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this article, we introduce the C‐triangular property and develop a new class of Geraghty‐type contractions within the framework of neutrosophic b‐metric spaces. These tools allow us to derive several new fixed point theorems that not only generalize the classical results but also provide a unified approach to various existing contraction principles.
M. Pandiselvi, M. Jeyaraman, Rahul Shukla, Deepali   +3 more
wiley   +1 more source

STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES IN NEUTROSOPHIC 2-NORMED SPACES

Ural Mathematical Journal
In this paper, we have studied the notion of statistical convergence for double sequences in neutrosophic 2-normed spaces. Also, we have defined statistically Cauchy double sequences and statistically completeness for double sequences and investigated ...
Rahul Mondal, Nesar Hossain
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