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On multiplicative modular metric spaces of Kaplan et al.: corrections and clarifications
Fixed Point Theory and Algorithms for Sciences and EngineeringKaplan et al. (J. Inequal. Appl. 2025:54, 2025) introduced the notion of multiplicative modular metric spaces, motivated by the framework of multiplicative metric spaces (Özavşar and Cevikel in J. Eng. Technol. Appl. Sci.
Satit Saejung
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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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Modular Cone Metric Spaces [PDF]
Pure and Applied Mathematics Journal, 2013 In this paper a generalization of a modular metric which is also a generalization of cone metric, is introduced and some of its topological properties are studied. Next, a fixed point theorem in this space is proved and finally by an example, it is proved that the fixed point result of the paper "Ch. Mongkolkeha, W. Sintunavarat, P.
Gamchi, Saeedeh Shamsi +2 more
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Quasi‐Contractive Mappings in Modular Metric Spaces [PDF]
Journal of Applied Mathematics, 2012 We prove the existence of fixed point and uniqueness of quasi‐contractive mappings in modular metric spaces which was introduced by ...
Yeol Je Cho +2 more
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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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Fixed point theorems in modular G-metric spaces [PDF]
Journal of Inequalities and Applications, 2021 AbstractWe prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modularG-metric spaces and also prove the modularG-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modularG-metric spaces have a unique fixed point.
Godwin Amechi Okeke +3 more
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Emergence of kinematic space from quantum modular geometric tensor
Physics Letters B, 2022 We generalize the Quantum Geometric Tensor by replacing a Hamiltonian with a modular Hamiltonian. The symmetric part of the Quantum Geometric Tensor provides a Fubini-Study metric, and its anti-symmetric sector gives a Berry curvature. Our generalization
Xing Huang, Chen-Te Ma
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Applied General Topology, 2022 Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space.
Olivier Olela Otafudu, Katlego Sebogodi
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Property P in modular metric spaces
Vojnotehnicki glasnik, 2022 Introduction/purpose: The aim of this paper is to present the concept of the generalized ∅-weak contractive condition involving various combinations of d(x,y) in modular metric spaces. Methods: Conventional theoretical methods of functional analysis. Results: This study presents the result of (Murthy & Vara Prasad, 2013) for a single-valued mapping
Ljiljana Paunović +3 more
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Topological Algebra and its Applications, 2022 In this study, we demonstrate the existence and uniqueness of common fixed points of a generalized (α,β)− simulation contraction on a non-Archimedean modular metric space.
Öztürk Mahpeyker, Girgin Ekber
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