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Journal 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
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Probabilistic modular metric spaces [PDF]
Journal 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
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Intuitionistic Fuzzy Modular Spaces [PDF]
Transactions 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
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Tikrit Journal of Pure ScienceIn 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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Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap
Jambura Journal of Mathematics, 2023 Some generalizations of Banach's contraction principle, which is a fixed-point theorem for contraction mapping in metric spaces, have developed rapidly in recent years.
Afifah Hayati +2 more
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Nonlinear Analysis, 2023 This paper introduces new generalizations of the C-condition for (ψ; γ)-mappings in modular metric spaces. We extend the fixed point results for such mappings yielding the generalized C-condition in metric spaces to modular ones.We proved the existence ...
Hami Gündoğdu +2 more
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Modular Geometric Properties in Variable Exponent Spaces
Mathematics, 2022 Much has been written on variable exponent spaces in recent years. Most of the literature deals with the normed space structure of such spaces. However, because of the variability of the exponent, the underlying modular structure of these spaces is ...
Mohamed A. Khamsi +2 more
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Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces [PDF]
Arab Journal of Mathematical Sciences, 2020 The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued ρ-quasi-contractive mappings in modular function spaces.
Godwin Amechi Okeke, Safeer Hussain Khan
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Some Aspects of Geometric Constants in Modular Spaces
European Journal of Mathematical Analysis, 2021 In this paper, we generalize the typical geometric constants of Banach spaces to modular spaces. We study the equivalence between the convexity of modular and normed spaces, and obtain the relationship between ρ-Neumann-Jordan constant and ρ-James ...
Zhijian Yang +3 more
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Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces
Mathematics, 2023 In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-condition using the direct method (Hyers method).
Kandhasamy Tamilvanan +5 more
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