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Your search keyword '"Minxian Zhang"' showing total 3 results
Start Over Author "Minxian Zhang" Topic applied mathematics
3 results on '"Minxian Zhang"'

1. Countable products of probabilistic normed spaces

Author

Bernardo Lafuerza-Guillén, Gaoxun Zhang, Carlo Sempi, Minxian Zhang, B., Lafuerza Guillen, Sempi, Carlo, G., Zhang, and M., Zhang

Subjects
Discrete mathematics, Metric space, TheoryofComputation_COMPUTATIONBYABSTRACTDEVICES, Probabilistic Normed Spaces, Applied Mathematics, Probabilistic logic, Countable set, T-norm, Triangular function, Analysis, Mathematics
Abstract

Countable products of probabilistic normed spaces are introduced and studied. In particular, a comparison is made with the analogous constructions for probabilistic metric spaces.

Published
2009

2. On the normability of generalized Šerstnev PN spaces

Author

Minxian Zhang and Gaoxun Zhang

Subjects
Algebra, Applied Mathematics, Probabilistic logic, Topologically bounded, Space (mathematics), Locally convex, Normability, Analysis, Mathematics
Abstract

Probabilistic Normed spaces have been redefined by C. Alsina, B. Schweizer and A. Sklar. But even today, whether the generalized Šerstnev PN space is normable or not is still an open question. In this paper, through applying Kolmogorov's theorem, we will give several sufficient conditions, under which many generalized Šerstnev PN spaces are normable. As the application of our results, we will give two examples which are normable generalized Šerstnev PN space, but not Šerstnev space.

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3. On locally convex probabilistic normed spaces

Author

Jie Chi, Minxian Zhang, Binshan Ju, and Changli Yan

Subjects
Convex analysis, Discrete mathematics, Mathematics::Functional Analysis, Property (philosophy), Mathematics::Commutative Algebra, Mathematics::Operator Algebras, locally convex probabilistic seminormed space, lcsh:Mathematics, Applied Mathematics, Probabilistic logic, Regular polygon, Uniformly convex space, Subderivative, lcsh:QA1-939, Strictly convex space, Locally convex topological vector space, Mathematics::Metric Geometry, Discrete Mathematics and Combinatorics, Mathematics::Representation Theory, Analysis, Mathematics, probabilistic normed space, local base
Abstract

In this paper, we give the notion of locally convex probabilistic seminormed spaces and discuss some property of locally convex probabilistic seminormed spaces.

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