IJPAM: Volume 74, No. 4 (2012)

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

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


Abstract. The aim of this paper to give the set of all $t$-best approximations on fuzzy anti-$2$-normed spaces and prove some theorems in the sense of Vaezpour and Karimi [16].

Received: November 5, 2011

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

Key Words and Phrases: $2$-normed spaces, fuzzy anti-$2$-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: 2012
Volume: 74
Issue: 4