On the Uniqueness of p-Best Approximation in Probabilistic Normed Spaces

Autor: H. R. Goudarzi
Rok vydání: 2017
Předmět:
Zdroj: International Journal of Nonlinear Sciences and Numerical Simulation. 19:475-480
ISSN: 2191-0294
1565-1339
DOI: 10.1515/ijnsns-2016-0127
Popis: 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 quotient spaces.
Databáze: OpenAIRE