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Intuitionistic Fuzzy Modular Spaces [PDF]
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
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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
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Probabilistic modular metric spaces [PDF]
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
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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
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Refined stability of the additive, quartic and sextic functional equations with counter-examples
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
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Fixed Point Results on Partial Modular Metric Space
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
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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
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A Passive Vibration Control Method of Modular Space Structures Based on Band Gap Optimization
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
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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
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A fixed point result of weakly contractive operators in generalized metric spaces
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
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