Results 101 to 110 of about 6,611,973 (350)
Documenta Mathematica, 1999 In contrast to the usual Lipschitz seminorms associated to ordinary metrics on compact spaces, we show by examples that Lipschitz seminorms on possibly non-commutative compact spaces are usually not determined by the restriction of the metric they define on the state space, to the extreme points of the state space.
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A stepwise emergence of evolution in the RNA world
FEBS Letters, EarlyView.How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
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Function valued metric spaces [PDF]
Surveys in Mathematics and its Applications, 2010 In this paper we introduce the notion of an ℱ-metric, as a function valued distance mapping, on a set X and we investigate the theory of ℱ-metrics paces.
Madjid Mirzavaziri
doaj
Fixed Point Theorems in Complex Valued B-Metric Spaces
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2017 A complex-valued b-metric space is a generalization of a b-metric space in which its b-metric space has complex value. It can also be considered as a generalization of a complex-valued metric space. Hence, fixed point theorems that have been studied in b-
Dahliatul Hasanah
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On the “third axiom of metric space”
, 1927 1. In his thesis Frechett defines a metric spacet or class (D) as a class of elements, the relations among which are established by means of a function of pairs of elements of this class.
V. W. Niemytzki
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Metric distributional discrepancy in metric space
Statistics and Its Interface, 2023 14 pages, 2 ...
Pan, Wenliang +4 more
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FEBS Letters, EarlyView.B cells sense external mechanical forces and convert them into biochemical signals through mechanotransduction. Understanding how malignant B cells respond to physical stimuli represents a groundbreaking area of research. This review examines the key mechano‐related molecules and pathways in B lymphocytes, highlights the most relevant techniques to ...
Marta Sampietro +2 more
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Fixed point theorems in a new type of modular metric spaces
Fixed Point Theory and Applications, 2018 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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Evolutionary interplay between viruses and R‐loops
FEBS Letters, EarlyView.Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
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Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
Fixed Point Theory and Applications, 2008 We prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well ...
Fadi Awawdeh +2 more
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