IJPAM: Volume 72, No. 2 (2011)

SOME RESULTS ON $t$-BEST APPROXIMATION IN
FUZZY $2$-NORMED LINEAR SPACES

B. Surender Reddy
Department of Mathematics
PGCS, Saifabad
Osmania University
Hyderabad-500004, AP, INDIA


Abstract. The aim of this paper is to give the set of all $t$-best approximations on fuzzy $2$-normed linear spaces and prove some theorems in the sense of Vaezpour and Karimi [13].

Received: August 10, 2011

AMS Subject Classification: 46A30, 46S40, 46A70, 54A40

Key Words and Phrases: $2$-normed linear spaces, fuzzy $2$-norms, $t$-best approximation, $t$-proximinal set, $t$-chebyshev set

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 72
Issue: 2