Results 61 to 70 of about 154 (109)

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

$\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces [PDF]

Sahand Communications in Mathematical Analysis
This insightful article examines the $\lambda$-statistical convergence of function sequences within neutrosophic norm spaces. It introduces novel concepts such as $\lambda$-statistical pointwise convergence and $\lambda$-statistical uniform convergence ...
Hari Shankar, Ayaz Ahmad, Chandan Chaurasiya, Ayhan Esi   +3 more
doaj   +1 more source

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

Completeness and Cartesian Product in Neutrosophic Rectangular n-Normed Spaces

Dera Natung Government College Research Journal
This study introduces the new concept of neutrosophic rectangular $n$-normed spaces, along with essential foundational definitions. It then explores the Cartesian product of such spaces and examines how this operation influences their structural ...
Mukhtar Ahmad, Mohammad Mursaleen
doaj   +1 more source

On deferred I-statistical rough convergence of difference sequences in neutrosophic normed spaces [PDF]

Neutrosophic Sets and Systems
In this study, using the concepts of deferred density and the notion of the ideal I, we extend the idea of rough convergence by introducing the notion of deferred I–statistical rough convergence via difference operators in the framework of neutrosophic ...
Mukhtar Ahmad, Ekrem Savas, Mohammad Mursaleen   +2 more
doaj   +1 more source

Triple Lacunary ?-Statistical Convergence in Neutrosophic Normed Spaces

, 2022
The aim of this article is to investigate triple lacunary ?-statistically convergent and triple lacunary ?-statistically Cauchy sequences in a neutrosophic normed space (NNS).
Kı?şı?, Ömer, Gürdal, Verda
core  

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

Neutrosophic Partial Metric Spaces and Fixed Point Theorems

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, neutrosophic partial metric spaces are defined, and their basic properties and examples are obtained. Furthermore, the relations between neutrosophic partial metric spaces, classical metric spaces, fuzzy partial metric spaces, and fuzzy are analyzed.
Abdullah Kargın, Bilal Bilalov
wiley   +1 more source

Some Novel Fixed‐Point Results in Neutrosophic Soft Metric Space With Application in Decision‐Making to Select the Optimal Adsorbent

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this research paper, the concepts of compatible maps and maps of type α¯ and (β¯) within the framework of neutrosophic soft metric spaces (NSMS) are established. The interconnections between α¯‐ and (β¯)‐type maps are also clarified. Additionally, the notions of R‐weakly commuting and weakly commuting mappings in NSMS are introduced. A proof for the
Vishal Gupta, Nitika Garg, Rahul Shukla, Pramita Mishra   +3 more
wiley   +1 more source

A Decision‐Making Approach Incorporating TODIM Method and Sine Entropy in q‐Rung Picture Fuzzy Set Setting

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this study, we propose a new approach based on fuzzy TODIM (Portuguese acronym for interactive and multicriteria decision‐making) for decision‐making problems in uncertain environments. Our method incorporates group utility and individual regret, which are often ignored in traditional multicriteria decision‐making (MCDM) methods.
Büşra Aydoğan, Murat Olgun, Florentin Smarandache, Mehmet Ünver, Kamal Kumar   +4 more
wiley   +1 more source