Results 31 to 40 of about 122 (108)

On Neutrosophic 2‐Metric Spaces with Application

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
Classical sets, fuzzy sets, intuitionistic fuzzy sets, and other sets are all generalized into the neutrosophic sets. A neutrosophic set is a mathematical approach that helps with challenges involving data that is inconsistent, indeterminate, or imprecise. The goal of this manuscript is to present the notion of neutrosophic 2‐metric spaces.
Ali Asghar, Aftab Hussain, Khaleel Ahmad, Umar Ishtiaq, Hamed Al Sulami, Nawab Hussain, Shanhe Wu   +6 more
wiley   +1 more source

[Retracted] Solving Nonlinear Fractional Differential Equations for Contractive and Weakly Compatible Mappings in Neutrosophic Metric Spaces

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this article, we aim to prove various unique fixed point results for contractive and weakly compatible mappings in the sense of neutrosophic metric spaces. Several nontrivial examples are also imparted. To support main result, uniqueness of solution of nonlinear fractional differential equations is examined.
Usman Ali, Haifa A. Alyousef, Umar Ishtiaq, Khaleel Ahmad, Shajib Ali, Ganesh Ghorai   +5 more
wiley   +1 more source

The Role of Lacunary Statistical Convergence for Double sequences in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This paper introduces and explores the concept of lacunary statistical convergence of double sequence within the framework neutrosophic normed spaces. Neutrosophic normed spaces extend classical normed spaces by incorporating neutrosophic numbers, which ...
Jenifer. P, Jeyaraman. M
doaj   +1 more source

Contraction Mappings in Intuitionistic Fuzzy Rectangular Extended B‐Metric Spaces

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this study, we present the notion of intuitionistic fuzzy rectangular extended b‐metric spaces as a generalization of intuitionistic fuzzy metric spaces and intuitionistic fuzzy rectangular b‐metric spaces. Some well‐known fixed‐point results in metric fixed‐point theory are generalized in the sense of intuitionistic fuzzy rectangular extended b ...
Doha Kattan, Amjad Owaidh Alzanbaqi, Sahidul Islam, Ewa Rak   +3 more
wiley   +1 more source

Certain aspects of Nörlund ℐ-statistical convergence of sequences in neutrosophic normed spaces

Demonstratio Mathematica, 2023
The aim of this article is to investigate the neutrosophic Nörlund ℐ-statistically convergent sequence space. We present some neutrosophic normed spaces (NNSs) in Nörlund convergent spaces.
Kişi Ömer, Gürdal Mehmet, Çakal Burak   +2 more
doaj   +1 more source

On $\mathcal{I}_{\theta }$-convergence in Neutrosophic Normed Spaces

Fundamental Journal of Mathematics and Applications, 2021
The purpose of this article is to investigate lacunary ideal convergence of sequences in neutrosophic normed space (NNS). Also, an original notion, named lacunary convergence of sequence in NNS, is defined. Also, lacunary $% \mathcal{I}$-limit points and lacunary $\mathcal{I}$-cluster points of sequences in NNS have been examined. Furthermore, lacunary
openaire   +5 more sources

Topological Aspects of Set-Valued Mappings Defned on Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
Samarandache [43] introduced neutrosophoic sets to generalize the theory of fuzzy sets. In this paper we modify the definition of neutrosophic normed space with help of continuous neutrosophic t-representable norm. Then we study the statistical graphical
Vakeel A Khan, Mohd Kamran
doaj   +1 more source

A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm.
Vakeel A Khan, Mohd Faisal
doaj   +1 more source

Cesàro Statistical Convergence on Neutrosophic Normed Spaces

Turkish Journal of Mathematics and Computer Science, 2022
Cesàro statistical convergence in neutrosophic normed spaces is investigated in this research. Additionally, in this study, we concentrate at several features of Cesàro statistical convergence in NNS such as concepts of Cesàro statistically Cauchy, Cesàro statistically convergent neutrosophic normed Cauchy.
openaire   +2 more sources

Continuous and bounded operators on neutrosophic normed spaces

Neutrosophic Sets and Systems, 2021
In this paper, we define the concept of continuous, sequentially continuous, and strongly continuous mappings neutrosophic normed spaces. Also, we have some important relationships between continuous, sequentially continuous, strongly continuous relationships mappings.
Saleh Omran, A. Elrawy
openaire   +2 more sources