Results 71 to 80 of about 1,143,298 (120)

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

On New Notions of Orthogonality in Normed Spaces via the 2-HH-Norms [PDF]

, 2009
Kikianty and Dragomir in 2008 introduced the p-HH-norms on the Cartesian product of two copies of a normed space, which are equivalent to the well-known p-norms. In this paper, notions of orthogonality in terms of 2-HH-norms are introduced.
Dragomir, Sever S, Kikianty, Eder
core   +3 more sources

Bipolar Complex Intuitionistic Fuzzy Subgroups: Axiomatic Foundations, Structural Theory, and Multicriteria Team Selection Under Hesitation and Phase Uncertainty

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Existing algebraic extensions of Rosenfeld’s fuzzy subgroup encode at most two of the three representational dimensions: hesitation, bipolarity, and phase periodicity. We close this gap by introducing bipolar complex intuitionistic fuzzy (BCIF) subgroups, in which each group element carries four Cartesian‐complex components constrained by ...
Hasan Almutairi, Abd Ulazeez Alkouri, Smritijit Sen   +2 more
wiley   +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

Neutrosophic Sets and Systems [PDF]

, 2013
Neutrosophic Sets and Systems has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as ...
Smarandache, Florentin (Editor-in-Chief)
core   +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

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

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

On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical convergence.
Manpreet Kaur, Meenakshi Chawla
doaj   +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