Results 11 to 20 of about 123,296 (287)
Best Proximity Point Results in Non-Archimedean Modular Metric Space [PDF]
Mathematics, 2017 In this paper, we introduce the new notion of Suzuki-type ( α , β , θ , γ ) -contractive mapping and investigate the existence and uniqueness of the best proximity point for such mappings in non-Archimedean modular metric space using the weak ...
Mohadeshe Paknazar, Manuel De la Sen
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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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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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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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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 ...
Cho, Yeol J. E. +2 more
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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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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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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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Fixed point theorems in a new type of modular metric spaces
Fixed Point Theory and Applications, 2018 In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space.
Duran Turkoglu, Nesrin Manav
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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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