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Some results for cyclic weak contractions in modular metric space
2023Summary: In this paper, we present some fixed point results for cyclic weak \(\phi\)-contractions in \(\omega\)-complete modular metric spaces and \(\omega\)-compact modular metric spaces, respectively. Some results for contractions that have zero cyclic properties are also provided.
Rahimpoor, Hossein, Nikoufar, Ismail
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On the Structure of Modular Fuzzy Metric Space
2023The purpose of this study is to introduce the concept of modular fuzzy metric space bycombining modular metric space and fuzzy metric space (in sense of George and Veeramani).We investigate some properties of this new space and give some useful examples.
Bostan, Nizamettin Ufuk +1 more
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Modular metric spaces, II: Application to superposition operators
Nonlinear Analysis: Theory, Methods & Applications, 2010The author presents an exhausting description of Lipschitz continuous and some other classes of nonlinear superposition operators acting in modular metric spaces of functions of a real variable of finite generalized variation in the sense of \textit{M. Schramm} [Trans. Am. Math. Soc.
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Corrigendum: Modular Metric Spaces
Irish Mathematical Society Bulletin, 2022Hana Abobaker, Raymond A. Ryan
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Wireless sensor networks with modular metric spaces
Journal of Interdisciplinary MathematicsChistyakov introduced notions of Metric Modular Spaces (MMS) recently. There are motivating chances when integrating the Fixed-Point Theorem (FPT) of MMS into the model and function of a Wireless Sensor Network (WSN), particularly when it comes to reformation network functions, routing algorithms, and data aggregation methods. In WSN data communication,
Swapna Siddamsetti +6 more
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Fixed points of $G$-monotone mappings in metric and modular spaces
Topological Methods in Nonlinear AnalysisLet $C$ be a bounded, closed and convex subset of a reflexive metric space with a digraph $G$ such that $G$-intervals along walks are closed and convex. In the main theorem we show that if $T\colon C\rightarrow C$ is a monotone $G$-nonexpansive mapping and there exists $c\in C$ such that $Tc\in [c,\rightarrow )_{G}$, then $T$ has a fixed point ...
Dau Hong Quan, Andrzej Wiśnicki
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Some fixed-point theorems for a general class of mappings in modular G-metric spaces
Arab Journal of Mathematical Sciences, 2021Godwin Okeke, Daniel Francis
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C*-algebra valued modular S-metric spaces with applications in fixed point theory
Tbilisi Mathematical Journal, 2021Lakshmi Narayan Mishra +1 more
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