B. Surender Reddy

On Some Sequence Spaces

In this article we introduce some sequence spaces with base space X, a real linear n-normed space. We also use an Orlicz function to construct the spaces. We investigate these spaces for some algebraic and topological structures.

Best simultaneous approximation in fuzzy anti-normed linear spaces

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.

COMPUTATION OF THE KÖTHE-TOEPLITZ DUAL OF SOME SETS OF SEQUENCES OF FUZZY NUMBERS

The main aim of the present paper is to compute the α–dual (or Kothe-Toeplitz dual) for some sets of sequences of fuzzy numbers defined using an Orlicz function. We also compute the α–dual of some sets of difference sequences of fuzzy numbers.