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Holomorphic Functions and polynomial ideals on Banach spaces [PDF]
, 2010 Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natural conditions verified by many usual classes of polynomials, the spectrum
Carando, Daniel +2 more
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Fixed Point Results on Multiplicative Semi-Metric Space
Journal of Scientific Research, 2020 In this paper we introduce the notion of the Multiplicative Semi-Metric Space and proved common fixed point theorems. We establish fixed point theorems for four self-maps which can be extended to derive common fixed point theorems involving any finite number of mappings in Multiplicative Semi Metric Space. Further examples are discussed to show
V. Srinivas, B. Vijayabaskerreddy
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Characterization of Multiplicative Metric Completeness
International Journal of Analysis and Applications, 2016 We established fixed point theorems in multiplicative metric spaces. The obtained results generalize Banach contraction principle in multiplicative metric spaces and also characterize completeness of the underlying multiplicative metric space.
Badshshah e Romer, Muhammad Sarwar
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Non-Native Plant Invasion along Elevation and Canopy Closure Gradients in a Middle Rocky Mountain Ecosystem. [PDF]
PLoS ONE, 2016 Mountain environments are currently among the ecosystems least invaded by non-native species; however, mountains are increasingly under threat of non-native plant invasion. The slow pace of exotic plant invasions in mountain ecosystems is likely due to a
Joshua P Averett +5 more
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, 2015 This paper is inspired by the problem of understanding in a mathematical sense the Liouville quantum gravity on surfaces. Here we show how to define a stationary random metric on self-similar spaces which are the limit of nice finite graphs: these are ...
Khristoforov, Mikhail +2 more
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, 2015 We propose a new family of discrete energy minimization problems, which we call parsimonious labeling. Specifically, our energy functional consists of unary potentials and high-order clique potentials. While the unary potentials are arbitrary, the clique
Dokania, Puneet K., Kumar, M. Pawan
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Extensions of the Banach contraction principle in multiplicative metric spaces [PDF]
Vojnotehnicki glasnik, 2017 In this paper, we have proven several generalizations of the Banach contraction principle for multiplicative metric spaces. We have also derived the Cantor intersection theorem in the setup of multiplicative metric spaces. Non-trivial supporting examples are also given.
ROME BADSHAH, SARWAR MUHAMMAD
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Fundamental Characteristics of the Product-Operated Metric Spaces
AxiomsIn the field of metric fixed point theory, there are several generalized or modified types of metric space. One such type is called multiplicative metric space. It was initially introduced as a modified version of the metric space, but was later found to
Muhammad Usman Ali +3 more
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, 2016 We introduce a novel geometric approach to the image labeling problem. Abstracting from specific labeling applications, a general objective function is defined on a manifold of stochastic matrices, whose elements assign prior data that are given in any ...
Petra, Stefania +3 more
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Thermodynamic inference of data manifolds
Physical Review Research, 2020 The Gibbs-Boltzmann distribution offers a physically interpretable approach to massively reduce the dimensionality of high dimensional probability distributions where the extensive variables represent “features” of the state space and the intensive ...
Purushottam D. Dixit
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