Best simultaneous approximation in fuzzy anti-normed linear spaces

Article type: Research Article

Authors: Reddy, B. Surender^; | Dutta, Hemen^;

Affiliations: Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, A.P., India | Faculty of Mathematics, Gauhati University, Assam, India

Note: [] Corresponding author. Hemen Dutta, Faculty of Mathematics, Gauhati University, Assam, India. E-mail: hemen_dutta08@rediffmail.com

Abstract: The main aim of this paper is to consider the t-best simultaneous approximation in fuzzy anti-normed linear spaces. We develop the theory of t-best simultaneous approximation in its quotient spaces. Then we discuss the relationship in t-proximinality and t-Chebyshevity of a given space and its quotient space.

Keywords: Fuzzy anti-norms, simultaneous approximation, simultaneous t-proximinality, simultaneous t-Chebyshevity, quotient space

DOI: 10.3233/IFS-2012-0617

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 1, pp. 95-102, 2013