Results 21 to 30 of about 59,450 (262)
In this work, we investigate the generalized Hyers-Ulam stability of the Apollonius type additive functional equation in modular spaces with or without Δ 2 -conditions.
Sang Og Kim, John Michael Rassias
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Integrating simple genus two string invariants over moduli space
We consider an Sp(4, ℤ) invariant expression involving two factors of the Kawazumi-Zhang (KZ) invariant each of which is a modular graph with one link, and four derivatives on the moduli space of genus two Riemann surfaces.
Anirban Basu
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Modular parallel transport of multiple intervals in 1+1-dimensional free fermion theory
Modular parallel transport is a generalization of Berry phases, applied to modular (entanglement) Hamiltonians. Here we initiate the study of modular parallel transport for disjoint field theory regions.
Bowen Chen +3 more
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Fixed point theorems in a new type of modular metric spaces
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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Overview of and first observations from the TILDAE High-Altitude Balloon Mission [PDF]
Though the presence of intermittent turbulence in the stratosphere has been well established, much remains unknown about it. In situ observations of this phenomenon, which have provided the greatest details of it, have mostly been achieved via sounding ...
B. A. Maruca +6 more
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Equimodular and linearity in modular spaces
Let \(X_\rho\) and \(Y_\rho\) be two modular spaces generated by modulars \(\rho_X\) and \(\rho_Y\), respectively. The authors consider the question when \(\rho\) is an inverting modular for the norm (\(F\)-norm) in \(X\), and the problem of sufficient conditions in order that a mapping \(T: X_\rho\to Y_\rho\) be affine.
Wang, Jian, Wang, Jian-Yong
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Strongly Summable Vector-Valued Sequence Spaces Defined by 2-modular
Summability is an important concept in sequence spaces. One summability concept is strongly Cesaro summable. In this paper, we study a subset of the set of all vector-valued sequence in 2-modular space.
Burhanudin Arif Nurnugroho +1 more
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Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces
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
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On a capacity for modular spaces
The purpose of this article is to define a capacity on certain topological measure spaces $X$ with respect to certain function spaces $V$ consisting of measurable functions. In this general theory we will not fix the space $V$ but we emphasize that $V$ can be the classical Sobolev space $W^{1,p}(Ω)$, the classical Orlicz-Sobolev space $W^{1,Φ}(Ω)$, the
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A Note on the Kadec-Klee Property
The objective of this paper is to rigorously define the Kadec-Klee property for modular spaces endowed with a sequential convergence structure, and to demonstrate that this property leads to normal structure in such spaces.
Wojciech M. Kozlowski
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