Best Coapproximation in Quotient Spaces

Best Coapproximation in Fuzzy Anti-n-Normed Spaces

The main purpose of this paper is to consider the new kind of approximation which is called as t-best coapproximation in fuzzy n-normed spaces. The set of all t-best coapproximation define the t-coproximinal, t-co-Chebyshev and F-best coapproximation and then prove several theorems pertaining to this sets. Keywords—Fuzzy-n-normed space, best coapproximation, co-proximinal, co-Chebyshev, F-best ...

Some Results concerning Best Uniform Coapproximation

This paper provides some conditions to obtain best uniform coapproximation. Some error estimates are determined. A relation between interpolation and best uniform coapproximation is exhibited. Continuity properties of selections for the metric projection and the cometric projection are studied.

On t-Best Coapproximation in fuzzy anti-2-normed linear spaces

In this paper, we study the concept of t-best coapproximation in fuzzy anti-2-normed linear spaces. We introduce the notion of t-best coapproximation, t-coproximinal sets, t-coChebyshev sets and t-orthogonality and prove some interesting theorems to characterization of t-best coapproximation elements. AMS subject classification: 46S40, 41A50.

ε-weakly Chebyshev subspaces and quotient spaces

Norms on Quotient Spaces

BEST SIMULTANEOUS APPROXIMATION IN FUZZY NORMED SPACES

The main purpose of this paper is to consider the t-best simultaneousapproximation in fuzzy normed spaces. We develop the theory of t-bestsimultaneous approximation in quotient spaces. Then, we discuss the relationshipin t-proximinality and t-Chebyshevity of a given space and its quotientspace.