Best approximation on probabilistic normed spaces

DOI10.1016/j.chaos.2008.07.009zbMath1200.46072OpenAlexW2102623471MaRDI QIDQ602487

Sumit K. Garg

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.07.009

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (3)

Best approximation in quotient probabilistic normed space ⋮ On best approximation in fuzzy metric spaces ⋮ Some new results on approximation in fuzzy 2-normed spaces

Cites Work

• Replacing points by compacta in neural network approximation
• \(D\)-boundedness and \(D\)-compactness in finite-dimensional probabilistic normed spaces
• Hilbert space, the number of Higgs particles and the quantum two-slit experiment
• On the definition of a probabilistic normed space
• Continuity properties of probabilistic norms
• A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
• On the uncertainty of Cantorian geometry and the two-slit experiment
• Generalized contraction mapping principle and differential equations in probabilistic metric spaces
• Statistical Metrics
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