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Probabilistic modular metric spaces [PDF]
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 ...
Kianoush Fathi Vajargah +1 more
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Interpolative Meir–Keeler Mappings in Modular Metric Spaces
Modular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular ...
Erdal Karapınar +2 more
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Fixed Point Results on Partial Modular Metric Space [PDF]
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
Dipankar Das +4 more
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Emergence of spacetime from the algebra of total modular Hamiltonians
We study the action of the CFT total modular Hamiltonian on the CFT representation of bulk fields with spin. In the vacuum of the CFT the total modular Hamiltonian acts as a bulk Lie derivative, reducing on the RT surface to a boost perpendicular to the ...
Daniel Kabat, Gilad Lifschytz
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Best Proximity Point Results in Non-Archimedean Modular Metric Space [PDF]
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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From Latent Manifolds to Targeted Molecular Probes: An Interpretable, Kinome-Scale Generative Machine Learning Framework for Family-Based Kinase Ligand Design [PDF]
Scaffold-aware artificial intelligence (AI) models enable systematic exploration of chemical space conditioned on protein-interacting ligands, yet the representational principles governing their behavior remain poorly understood.
Gennady Verkhivker +2 more
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Multiplicative modular metric spaces and some fixed point results
This 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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Intuitionistic Fuzzy Modular Spaces [PDF]
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]
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]
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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