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Probabilistic modular metric spaces [PDF]

open access: yesJournal 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 ...
Kianoush Fathi Vajargah   +1 more
doaj   +2 more sources

Interpolative Meir–Keeler Mappings in Modular Metric Spaces

open access: yesMathematics, 2022
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
doaj   +2 more sources

Fixed Point Results on Partial Modular Metric Space [PDF]

open access: yesAxioms, 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
Dipankar Das   +4 more
doaj   +2 more sources

Emergence of spacetime from the algebra of total modular Hamiltonians

open access: yesJournal of High Energy Physics, 2019
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
doaj   +3 more sources

‎Intuitionistic Fuzzy Modular Spaces [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2023
‎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
doaj   +1 more source

The Meir-Keeler type contractions in extended modular b-metric spaces with an application

open access: yesAIMS Mathematics, 2021
In this paper, we introduce the notion of a modular $ p $-metric space (an extended modular $ b $-metric space) and establish some fixed point results for $ \alpha $-$ \widehat{\nu} $-Meir-Keeler contractions in this new space.
Abdolsattar Gholidahneh   +4 more
doaj   +1 more source

Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap

open access: yesJambura Journal of Mathematics, 2023
Some generalizations of Banach's contraction principle, which is a fixed-point theorem for contraction mapping in metric spaces, have developed rapidly in recent years.
Afifah Hayati   +2 more
doaj   +1 more source

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

open access: yesAnalele 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
doaj   +1 more source

On Modified Interpolative Almost EType Contraction in Partial Modular bMetric Spaces

open access: yesAxioms, 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
doaj   +1 more source

Emergence of kinematic space from quantum modular geometric tensor

open access: yesPhysics Letters B, 2022
We generalize the Quantum Geometric Tensor by replacing a Hamiltonian with a modular Hamiltonian. The symmetric part of the Quantum Geometric Tensor provides a Fubini-Study metric, and its anti-symmetric sector gives a Berry curvature. Our generalization
Xing Huang, Chen-Te Ma
doaj   +1 more source

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