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Strong Γ-Statistical Convergence in Probabilistic Normed Spaces
Acta Mathematica Vietnamica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ŞENÇİMEN, CELALEDDİN +1 more
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Best approximation on probabilistic normed spaces
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shams, M., Vaezpour, S. M.
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Multiple sequences in probabilistic normed spaces
Afrika Matematika, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tripathy, Binod Chandra +1 more
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Convex sets in probabilistic normed spaces
Chaos, Solitons & Fractals, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aghajani, Asadollah, Nourouzi, Kourosh
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A NEW APPROACH FOR PROBABILISTICALLY BOUNDED SETS IN MENGER PROBABILISTIC NORMED SPACES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008The main purpose of this paper is to introduce a new topological structure which is called fuzzifying topological structure determined by the method of co-tower topologies in Menger probabilistic normed spaces. We prove that the fuzzifying topological structure is compatible with the vector structure.
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Nonlinear equations for fuzzy mappings in probabilistic normed spaces
Fuzzy Sets and Systems, 2000The authors have introduced the concept of probablistic contractor couple in probabilistic normed spaces and have presented two algorithms based on this concept. The existence of solutions for nonlinear equations of fuzzy mappings as well as the convergence of iterative sequences generated by the proposed algorithms are discussed.
Y. J. Cho, N. J. Huang, S. M. Kang
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On nonlinear equations for fuzzy mappings in probabilistic normed spaces
Fuzzy Sets and Systems, 2002The author extends the results of \textit{Y. J. Cho}, \textit{H. J. Huang} and \textit{S. M. Kang} [ibid. 110, 115-122 (2000; Zbl 0949.47059)] showing that their concept of a probabilistic \(\psi\)-\(g\)-contractor couple is a particular case of the concept of a probabilistic \(\psi\)-contractor couple given in this paper.
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Probabilistic norm of linear operators on PN space
Applied Mathematics and Mechanics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao, Jianzhong, Jiang, Xingguo
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On the Uniqueness of p-Best Approximation in Probabilistic Normed Spaces
International Journal of Nonlinear Sciences and Numerical Simulation, 2017Abstract The main aim of this paper is to present some basic as well as essential results involving the notion of p-Chebyshev sets in probabilistic normed spaces. In particular, we discuss the convexity of p-Chebyshev sets, decomposition of the space into its special subspaces, and we see a characterization of p-Chebyshev sets in ...
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