منابع مشابه
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.
متن کاملt-BEST APPROXIMATION IN FUZZY NORMED SPACES
The main purpose of this paper is to find t-best approximations in fuzzy normed spaces. We introduce the notions of t-proximinal sets and F-approximations and prove some interesting theorems. In particular, we investigate the set of all t-best approximations to an element from a set.
متن کاملSchauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
and Applied Analysis 3 Example 1.4. Let X, ‖ · ‖ be a normed space, a ∗ b ab, and a b min{a b, 1} for all a, b ∈ 0, 1 . For all x ∈ X and every t > 0, consider μ x, t ⎧ ⎪⎨ ⎪⎩ t t ‖x‖ if t > 0, 0 if t ≤ 0; ν x, t ⎧ ⎪⎨ ⎪⎩ ‖x‖ t |x| if t > 0, 1 if t ≤ 0. 1.1 Then X, μ, ν, ∗, is an IFNS. Remark 1.5 see 3 . Let X, μ, ν, ∗, be an IFNS with the condition μ x, t > 0, ν x, t < 1 implies x 0 ∀t ∈ . 1.2 L...
متن کاملbest 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.
متن کاملt-best approximation in fuzzy normed spaces
the main purpose of this paper is to find t-best approximations in fuzzy normed spaces. we introduce the notions of t-proximinal sets and f-approximations and prove some interesting theorems. in particular, we investigate the set of all t-best approximations to an element from a set.
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.11.014