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‎Intuitionistic Fuzzy Modular Spaces [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2023
‎After the introduction of the concept of fuzzy sets‎ ‎by Zadeh‎, ‎several researches were conducted on‎ ‎the generalizations of the notion of fuzzy sets‎. ‎There are many viewpoints on the notion of metric space in fuzzy topology‎.
Tayebe Lal Shateri
doaj   +2 more sources

On Fuzzy Modular Spaces [PDF]

open access: yesJournal of Applied Mathematics, 2013
The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by a β-homogeneous fuzzy modular is defined and some related topological properties are also examined.
Yonghong Shen, Wei Chen
doaj   +3 more sources

Probabilistic modular metric spaces [PDF]

open access: yesJournal of Hyperstructures, 2020
The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah   +1 more
doaj   +2 more sources

t-modular spaces

open access: yesTikrit Journal of Pure Science
In the current study, a new modular type   which is called t-modular is defined. Some properties are given and proven, the vector space  is defined, namely t-modular space with a norm function on  being ...
Safa Shakir
doaj   +2 more sources

Refined stability of the additive, quartic and sextic functional equations with counter-examples

open access: yesAIMS Mathematics, 2023
In this study, we utilize the direct method (Hyers approach) to examine the refined stability of the additive, quartic, and sextic functional equations in modular spaces with and without the $ \Delta _{2} $-condition.
Hasanen A. Hammad   +2 more
doaj   +1 more source

Fixed Point Results on Partial Modular Metric Space

open access: yesAxioms, 2022
In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial
Dipankar Das   +4 more
doaj   +1 more source

Iterative approximation of fixed points of generalized $ \alpha _{m} $-nonexpansive mappings in modular spaces

open access: yesAIMS Mathematics, 2023
Our aim of this work is to approximate the fixed points of generalized $ \alpha _{m} $-nonexpansive mappings employing $ AA $-iterative scheme in the structure of modular spaces.
Muhammad Waseem Asghar   +3 more
doaj   +1 more source

A Passive Vibration Control Method of Modular Space Structures Based on Band Gap Optimization

open access: yesInternational Journal of Aerospace Engineering, 2022
Modular space structure has become a research hotspot in the aerospace field. In the microgravity and weak damping space environment, modular space structures may continuously vibrate due to the transient excitation caused by satellite attitude ...
Juntao Zhu   +5 more
doaj   +1 more source

Ćirić-Reich-Rus type weakly contractive mappings and related fixed point results in modular-like spaces with application

open access: yesAIMS Mathematics, 2022
In this article, we define a new space named the modular-like space with its related concepts to prove the existence of a fixed point and a point of coincidence for mappings on this space. Also, we defined Ćirić-Reich-Rus type weakly contractive mappings
Fatemeh Lael   +3 more
doaj   +1 more source

A fixed point result of weakly contractive operators in generalized metric spaces

open access: yesAIMS Mathematics, 2022
In this note, by using basic properties of the recently introduced concepts of generalized metric spaces, new conditions for the existence of a fixed point for weakly type contractive operator which sends a closed subset into the ambient space under ...
Mohammed Shehu Shagari   +4 more
doaj   +1 more source

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