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Multiplicative modular metric spaces and some fixed point results
Journal of Inequalities and ApplicationsThis study aims to introduce a novel type of metric, defined as the w-multiplicative modular metric space, which becomes an expanded idea that includes two metric spaces. We present and demonstrate some of this new space’s topological properties. We also
Elif Kaplan +3 more
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Common fixed point results on modular ℱ-metric spaces [PDF]
AIP Conference Proceedings, 2019 Jleli and Samet[1] introduced a new concept, named a ℱ-metric space, as a generalization of the notion of metric space. We define new generalization of modular metric space as modular ℱ-metric space. We compare the topology produced by modular metric and by modular ℱ-metric, then cover some useful properties of this topology for fixed point theorems ...
Manav, Nesrin, Türkoğlu, Duran
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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [PDF]
The Scientific World Journal, 2014 The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalizedα-admissible modular contractive mappings in ...
N. Hussain, P. Salimi
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On Modified Interpolative Almost
Axioms, 2023 The current study attempts to identify a new generalized metric space structure, referred to as partial modular b−metric, that extends both partial modular metric space via b−metric space and explains the topological aspects of the new space implementing
Dilek Kesik +2 more
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Fuzzy Isometry and Standard Modular Structures in Modular Fuzzy Metric Spaces
Muthanna Journal of Pure ScienceThis paper investigates the relationship between modular metric spaces and modular fuzzy metric spaces by introducing and studying the concept of the standard modular fuzzy metric space.
Mohammed Jawad Kadhim
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Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman +1 more
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One-Local Retract and Common Fixed Point in Modular Metric Spaces [PDF]
Abstract and Applied Analysis, 2013 The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced.
Afrah A. N. Abdou
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Modular Fuzzy Metric-Like Spaces
2nd Kocaeli Science Congress (KOSC-2025), 19-21 November 2025, Kocaeli, TÜRKİYE https://fefkongre.kocaeli.edu.tr ...
Bostan, Nizamettin Ufuk +1 more
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Fixed point theorem and iterated function system in φ-metric modular space
Fixed Point Theory and Algorithms for Sciences and EngineeringWe introduce and study the concept of φ-metric modular space and, then define φ-α-Meir-Keeler contraction on it and explore its fixed point. Further, we define the Hausdorff distance between two non-empty compact subsets of the considered space.
Bikramjit Acharjee, Guru Prem Prasad M
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Journal of Mathematics, 2021 Extending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces ...
Fahad Sameer Alshammari +3 more
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