Results 51 to 60 of about 131 (103)

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

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
openaire   +1 more source

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

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

Hilbert I-Statistical Convergence on Neutrosophic Normed Spaces

Gazi University Journal of Science Part A: Engineering and Innovation, 2023
In this paper, λI-statistical convergence is defined to generalize statistical convergence on Neutrosophic normed spaces. As it is known, Neutrosophic theory, which brings a new breath to daily life and complex scientific studies which we encounter with many uncertainties, is a rapidly developing field with many new study subjects.
openaire   +3 more sources

Analyzing Decision‐Making Processes Using the Energy of Bipolar Neutrosophic Soft Sets

International Journal of Intelligent Systems, Volume 2025, Issue 1, 2025.
Bipolar neutrosophic soft sets are powerful tools for modeling data under conditions of uncertainty and imprecision due to their rich parametric structure and the useful mathematical properties of the operations defined on them. In this paper, motivated by the limitations of existing decision‐making algorithms, we introduce a new numerical ...
Marina Svičević, Nemanja Vučićević, Filip Andrić, Nenad Stojanović, Richard Murray   +4 more
wiley   +1 more source

Tauberian theorems for Cesàro summability in neutrosophic normed spaces

Filomat, 2023
In this paper, we introduce the concepts of Ces?ro summability and Tauberian theorem in neutrosophic normed spaces. We study that Ces?ro summability in neutrosophic norm space does not imply ordinary convergence, and we give an example in support of our statement.
Vakeel Khan, Mohd Faisal
openaire   +1 more source

On q`‐Rung Orthopair Neutrosophic Metric Spaces and Topological Properties

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce the novel structure of the q`‐rung orthopair neutrosophic metric space (q`‐RˇONM∧S), which unifies and extends the frameworks of q`‐rung orthopair fuzzy sets and neutrosophic metric spaces. The proposed model incorporates membership, nonmembership, and indeterminacy degrees within a q`‐rung orthopair framework, thereby ...
N. Muthulakshmi, D. Poovaragavan, M. Jeyaraman, Rahul Shukla, AbdelMaksoud Soliman   +4 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
doaj   +1 more source