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BEST SIMULTANEOUS APPROXIMATION IN PROBABILISTIC NORMED SPACES

2014
In the present paper we de ne the concept of best simultaneous approximation on probabilistic normed spaces and study the existence and uniqueness problem of best simultaneous approximation in these spaces. Firstly some de nitions such as set of p-best simultaneous approximation, simultaneous p-proximinal and simultaneous p-Chebyshev, are generalized ...
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Generalized probabilistic contractor couples and solutions to nonlinear equations in probabilistic normed spaces.

The authors introduce the notation about generalized probabilistic contractor couple and discuss the existene and uniqueness of a solution to nonlinear equations in probabilistic normed spaces with generalized probabilistic contractor couples.
Zhang, Shisheng, Wang, Fan
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