Results 221 to 230 of about 457 (250)
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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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A Mazur–Ulam theorem for probabilistic normed spaces
Aequationes Mathematicae, 2009A classical theorem of S. Mazur and S. Ulam asserts that any surjective isometry between two normed spaces is an affine mapping. D. Mushtari proved in 1968 the same result in the case of random normed spaces in the sense of A. Sherstnev. The aim of the present paper is to show that the result holds also for the probabilistic normed spaces as defined by
Stefan Cobzaş
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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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The stability of an additive functional equation in menger probabilistic φ-normed spaces
Mathematica Slovaca, 2011 We establish a stability result concerning the functional equation: $\sum\limits_{i = 1}^m {f\left( {mx_i + \sum\limits_{j = 1,j \ne i}^m {x_j } } \right) + f\left( {\sum\limits_{i = 1}^m {x_i } } \right) = 2f\left( {\sum\limits_{i = 1}^m {mx_i ...
Reza Saadati
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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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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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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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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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