Results 1 to 10 of about 11,682 (218)
In this paper, we present and discuss the topology of modular spaces using the filter base and we then characterize closed subsets as well as its regularity.
exaly +3 more sources
The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by aβ-homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems onμ-completeness of the fuzzy modular space are given.
Shen, Yonghong, Chen, Wei
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On Suzuki Mappings in Modular Spaces [PDF]
Inspired by Suzuki’s generalization for nonexpansive mappings, we define the ( C ) -property on modular spaces, and provide conditions concerning the fixed points of newly introduced class of mappings in this new framework. In addition, Kirk’s Lemma is extended to modular spaces.
Andreea Bejenaru, Mihai Postolache
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Modularity for the future in space robotics: A review [PDF]
This paper presents a review of modular and reconfigurable space robot systems intended for use in orbital and planetary applications. Modular autonomous robotic systems promise to be efficient, versatile, and resilient compared with conventional and monolithic robots, and have the potential to outperform traditional systems with a fixed morphology ...
Post, Mark Andrew +2 more
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An Extension of Modular Sequence Spaces [PDF]
The main aim of this paper is to present an extension of the modular sequence spaces by means of Cesàro mean of order one, to investigate several relevant algebraic and topological properties, and derive some other spaces in the sequel.
Hemen Dutta, Iqbal H. Jebril
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version to appear in Physical Review ...
Freidel, Laurent +2 more
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Intuitionistic Fuzzy Modular Spaces.
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. One of the most important problems in fuzzy topology is obtaining an appropriate concept of fuzzy metric space.
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Equimodular and linearity in modular spaces
Let \(X_\rho\) and \(Y_\rho\) be two modular spaces generated by modulars \(\rho_X\) and \(\rho_Y\), respectively. The authors consider the question when \(\rho\) is an inverting modular for the norm (\(F\)-norm) in \(X\), and the problem of sufficient conditions in order that a mapping \(T: X_\rho\to Y_\rho\) be affine.
Wang, Jian, Wang, Jian-Yong
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On a capacity for modular spaces
The purpose of this article is to define a capacity on certain topological measure spaces $X$ with respect to certain function spaces $V$ consisting of measurable functions. In this general theory we will not fix the space $V$ but we emphasize that $V$ can be the classical Sobolev space $W^{1,p}(Ω)$, the classical Orlicz-Sobolev space $W^{1,Φ}(Ω)$, the
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weak topology on modular space
In this paper first study some properties of weak topology on modular space and Convergent in weak topology on a modular space and prove some theory.
Murtda M. Jabber, Noori F. Al-Mayahi
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