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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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Probabilistic modular metric spaces
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 probabilistic metric and modular metric spaces.
Fathi Vajargah, Kianoush +1 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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Fixed Point Results on Partial Modular Metric Space [PDF]
Axioms, 2022 In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples.
Dipankar Das +4 more
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Common fixed point theorems in modular G-metric spaces [PDF]
, 2013 The purpose of this paper is to prove the existence of the unique common fixed point theorems of a pair of weakly compatible mappings satisfying $\Phi$-maps in modular G-metric ...
B. Azadifar, Gh. Sadeghi, M. Maramaei
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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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Irish Mathematical Society Bulletin, 2017 We give a short introduction to the theory of modular metric spaces. This is a corrected version of the paper [1], which had some errors. We are grateful to V. V. Chistyakov for bringing these to our attention.
Abobaker, Hana, Ryan, Raymond A.
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