IJPAM: Volume 74, No. 3 (2012)

SOME RESULTS ON $t$-BEST APPROXIMATION IN
FUZZY ANTI-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-normed spaces and prove some theorems in the sense of Vaezpour and Karimi [12].

Received: September 29, 2011

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

Key Words and Phrases: fuzzy anti-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: 3